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Finding the Fourth Proportional to 10,545.68, 15,807.72 and 3,967.28

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Solution

The fourth proportional to 10,545.68, 15,807.72 and 3,967.28 is: 5,946.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,545.68 : 15,807.72 = 3,967.28 : x
  2. Step 2: Convert to fraction form
    10,545.68/15,807.72 = 3,967.28/x
  3. Step 3: Cross multiply
    10,545.68x = 15,807.72 × 3,967.28
  4. Step 4: Simplify right side
    10,545.68x = 62,713,651.40
  5. Step 5: Solve for x
    x = 62,713,651.40/10,545.68
  6. Step 6: Final answer
    x = 5,946.86

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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.