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Finding the Fourth Proportional to 7,952.64, 10,978.56 and 6,097.92

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Solution

The fourth proportional to 7,952.64, 10,978.56 and 6,097.92 is: 8,418.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,952.64 : 10,978.56 = 6,097.92 : x
  2. Step 2: Convert to fraction form
    7,952.64/10,978.56 = 6,097.92/x
  3. Step 3: Cross multiply
    7,952.64x = 10,978.56 × 6,097.92
  4. Step 4: Simplify right side
    7,952.64x = 66,946,380.60
  5. Step 5: Solve for x
    x = 66,946,380.60/7,952.64
  6. Step 6: Final answer
    x = 8,418.13

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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.