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Finding the Fourth Proportional to 10,472.76, 15,706.71 and 3,902.04

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Solution

The fourth proportional to 10,472.76, 15,706.71 and 3,902.04 is: 5,852.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.76 : 15,706.71 = 3,902.04 : x
  2. Step 2: Convert to fraction form
    10,472.76/15,706.71 = 3,902.04/x
  3. Step 3: Cross multiply
    10,472.76x = 15,706.71 × 3,902.04
  4. Step 4: Simplify right side
    10,472.76x = 61,288,210.69
  5. Step 5: Solve for x
    x = 61,288,210.69/10,472.76
  6. Step 6: Final answer
    x = 5,852.15

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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.