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Finding the Fourth Proportional to 10,142.48, 15,215.80 and 3,902.48

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Solution

The fourth proportional to 10,142.48, 15,215.80 and 3,902.48 is: 5,854.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142.48 : 15,215.80 = 3,902.48 : x
  2. Step 2: Convert to fraction form
    10,142.48/15,215.80 = 3,902.48/x
  3. Step 3: Cross multiply
    10,142.48x = 15,215.80 × 3,902.48
  4. Step 4: Simplify right side
    10,142.48x = 59,379,355.18
  5. Step 5: Solve for x
    x = 59,379,355.18/10,142.48
  6. Step 6: Final answer
    x = 5,854.52

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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.