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Finding the Fourth Proportional to 10,462.10, 15,693.14 and 6,569.24

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Solution

The fourth proportional to 10,462.10, 15,693.14 and 6,569.24 is: 9,853.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.10 : 15,693.14 = 6,569.24 : x
  2. Step 2: Convert to fraction form
    10,462.10/15,693.14 = 6,569.24/x
  3. Step 3: Cross multiply
    10,462.10x = 15,693.14 × 6,569.24
  4. Step 4: Simplify right side
    10,462.10x = 103,091,940.97
  5. Step 5: Solve for x
    x = 103,091,940.97/10,462.10
  6. Step 6: Final answer
    x = 9,853.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.