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Finding the Fourth Proportional to 10,516.10, 15,766.31 and 6,355.17

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Solution

The fourth proportional to 10,516.10, 15,766.31 and 6,355.17 is: 9,528.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,516.10 : 15,766.31 = 6,355.17 : x
  2. Step 2: Convert to fraction form
    10,516.10/15,766.31 = 6,355.17/x
  3. Step 3: Cross multiply
    10,516.10x = 15,766.31 × 6,355.17
  4. Step 4: Simplify right side
    10,516.10x = 100,197,469.72
  5. Step 5: Solve for x
    x = 100,197,469.72/10,516.10
  6. Step 6: Final answer
    x = 9,528.00

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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.