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Finding the Fourth Proportional to 8,031.53, 12,046.89 and 3,349.73

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Solution

The fourth proportional to 8,031.53, 12,046.89 and 3,349.73 is: 5,024.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,031.53 : 12,046.89 = 3,349.73 : x
  2. Step 2: Convert to fraction form
    8,031.53/12,046.89 = 3,349.73/x
  3. Step 3: Cross multiply
    8,031.53x = 12,046.89 × 3,349.73
  4. Step 4: Simplify right side
    8,031.53x = 40,353,828.84
  5. Step 5: Solve for x
    x = 40,353,828.84/8,031.53
  6. Step 6: Final answer
    x = 5,024.43

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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.