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Finding the Fourth Proportional to 10,417.70, 15,626.71 and 3,397.68

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Solution

The fourth proportional to 10,417.70, 15,626.71 and 3,397.68 is: 5,096.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,417.70 : 15,626.71 = 3,397.68 : x
  2. Step 2: Convert to fraction form
    10,417.70/15,626.71 = 3,397.68/x
  3. Step 3: Cross multiply
    10,417.70x = 15,626.71 × 3,397.68
  4. Step 4: Simplify right side
    10,417.70x = 53,094,545.17
  5. Step 5: Solve for x
    x = 53,094,545.17/10,417.70
  6. Step 6: Final answer
    x = 5,096.57

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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.