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Finding the Fourth Proportional to 10,105.66, 15,152.42 and 3,866.14

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Solution

The fourth proportional to 10,105.66, 15,152.42 and 3,866.14 is: 5,796.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,105.66 : 15,152.42 = 3,866.14 : x
  2. Step 2: Convert to fraction form
    10,105.66/15,152.42 = 3,866.14/x
  3. Step 3: Cross multiply
    10,105.66x = 15,152.42 × 3,866.14
  4. Step 4: Simplify right side
    10,105.66x = 58,581,377.06
  5. Step 5: Solve for x
    x = 58,581,377.06/10,105.66
  6. Step 6: Final answer
    x = 5,796.89

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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.