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Finding the Fourth Proportional to 8,044.12, 12,046.62 and 5,572

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Solution

The fourth proportional to 8,044.12, 12,046.62 and 5,572 is: 8,344.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,044.12 : 12,046.62 = 5,572 : x
  2. Step 2: Convert to fraction form
    8,044.12/12,046.62 = 5,572/x
  3. Step 3: Cross multiply
    8,044.12x = 12,046.62 × 5,572
  4. Step 4: Simplify right side
    8,044.12x = 67,123,766.64
  5. Step 5: Solve for x
    x = 67,123,766.64/8,044.12
  6. Step 6: Final answer
    x = 8,344.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.