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Finding the Fourth Proportional to 10,411.70, 15,617.66 and 3,391.74

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Solution

The fourth proportional to 10,411.70, 15,617.66 and 3,391.74 is: 5,087.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.70 : 15,617.66 = 3,391.74 : x
  2. Step 2: Convert to fraction form
    10,411.70/15,617.66 = 3,391.74/x
  3. Step 3: Cross multiply
    10,411.70x = 15,617.66 × 3,391.74
  4. Step 4: Simplify right side
    10,411.70x = 52,971,042.13
  5. Step 5: Solve for x
    x = 52,971,042.13/10,411.70
  6. Step 6: Final answer
    x = 5,087.65

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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.