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Finding the Fourth Proportional to 11,821.92, 17,730.96 and 3,612

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Solution

The fourth proportional to 11,821.92, 17,730.96 and 3,612 is: 5,417.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,821.92 : 17,730.96 = 3,612 : x
  2. Step 2: Convert to fraction form
    11,821.92/17,730.96 = 3,612/x
  3. Step 3: Cross multiply
    11,821.92x = 17,730.96 × 3,612
  4. Step 4: Simplify right side
    11,821.92x = 64,044,227.52
  5. Step 5: Solve for x
    x = 64,044,227.52/11,821.92
  6. Step 6: Final answer
    x = 5,417.41

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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.