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Finding the Fourth Proportional to 8,019.34, 12,029.68 and 2,472.70

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Solution

The fourth proportional to 8,019.34, 12,029.68 and 2,472.70 is: 3,709.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,019.34 : 12,029.68 = 2,472.70 : x
  2. Step 2: Convert to fraction form
    8,019.34/12,029.68 = 2,472.70/x
  3. Step 3: Cross multiply
    8,019.34x = 12,029.68 × 2,472.70
  4. Step 4: Simplify right side
    8,019.34x = 29,745,789.74
  5. Step 5: Solve for x
    x = 29,745,789.74/8,019.34
  6. Step 6: Final answer
    x = 3,709.26

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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.