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Finding the Fourth Proportional to 10,057.48, 13,882.98 and 6,915.40

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Solution

The fourth proportional to 10,057.48, 13,882.98 and 6,915.40 is: 9,545.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057.48 : 13,882.98 = 6,915.40 : x
  2. Step 2: Convert to fraction form
    10,057.48/13,882.98 = 6,915.40/x
  3. Step 3: Cross multiply
    10,057.48x = 13,882.98 × 6,915.40
  4. Step 4: Simplify right side
    10,057.48x = 96,006,359.89
  5. Step 5: Solve for x
    x = 96,006,359.89/10,057.48
  6. Step 6: Final answer
    x = 9,545.77

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