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Finding the Fourth Proportional to 10,411.91, 15,613.78 and 3,390.22

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Solution

The fourth proportional to 10,411.91, 15,613.78 and 3,390.22 is: 5,084.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.91 : 15,613.78 = 3,390.22 : x
  2. Step 2: Convert to fraction form
    10,411.91/15,613.78 = 3,390.22/x
  3. Step 3: Cross multiply
    10,411.91x = 15,613.78 × 3,390.22
  4. Step 4: Simplify right side
    10,411.91x = 52,934,149.23
  5. Step 5: Solve for x
    x = 52,934,149.23/10,411.91
  6. Step 6: Final answer
    x = 5,084.00

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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.