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Finding the Fourth Proportional to 10,976, 15,146.88 and 6,008.32

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Solution

The fourth proportional to 10,976, 15,146.88 and 6,008.32 is: 8,291.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,976 : 15,146.88 = 6,008.32 : x
  2. Step 2: Convert to fraction form
    10,976/15,146.88 = 6,008.32/x
  3. Step 3: Cross multiply
    10,976x = 15,146.88 × 6,008.32
  4. Step 4: Simplify right side
    10,976x = 91,007,302.04
  5. Step 5: Solve for x
    x = 91,007,302.04/10,976
  6. Step 6: Final answer
    x = 8,291.48

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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.