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Finding the Fourth Proportional to 27,545.72, 41,320.13 and 7,822.71

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Solution

The fourth proportional to 27,545.72, 41,320.13 and 7,822.71 is: 11,734.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,545.72 : 41,320.13 = 7,822.71 : x
  2. Step 2: Convert to fraction form
    27,545.72/41,320.13 = 7,822.71/x
  3. Step 3: Cross multiply
    27,545.72x = 41,320.13 × 7,822.71
  4. Step 4: Simplify right side
    27,545.72x = 323,235,355.04
  5. Step 5: Solve for x
    x = 323,235,355.04/27,545.72
  6. Step 6: Final answer
    x = 11,734.51

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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.