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Finding the Fourth Proportional to 10,976,978.25, 15,148,005.41 and 6,082,185.11

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Solution

The fourth proportional to 10,976,978.25, 15,148,005.41 and 6,082,185.11 is: 8,393,291.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,976,978.25 : 15,148,005.41 = 6,082,185.11 : x
  2. Step 2: Convert to fraction form
    10,976,978.25/15,148,005.41 = 6,082,185.11/x
  3. Step 3: Cross multiply
    10,976,978.25x = 15,148,005.41 × 6,082,185.11
  4. Step 4: Simplify right side
    10,976,978.25x = 92,132,972,890,366.89
  5. Step 5: Solve for x
    x = 92,132,972,890,366.89/10,976,978.25
  6. Step 6: Final answer
    x = 8,393,291.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.