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Finding the Fourth Proportional to 10,046.30, 15,071.82 and 3,472.54

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Solution

The fourth proportional to 10,046.30, 15,071.82 and 3,472.54 is: 5,209.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.30 : 15,071.82 = 3,472.54 : x
  2. Step 2: Convert to fraction form
    10,046.30/15,071.82 = 3,472.54/x
  3. Step 3: Cross multiply
    10,046.30x = 15,071.82 × 3,472.54
  4. Step 4: Simplify right side
    10,046.30x = 52,337,497.82
  5. Step 5: Solve for x
    x = 52,337,497.82/10,046.30
  6. Step 6: Final answer
    x = 5,209.63

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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.