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Finding the Fourth Proportional to 27,265.34, 40,898.97 and 7,545.38

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Solution

The fourth proportional to 27,265.34, 40,898.97 and 7,545.38 is: 11,318.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,265.34 : 40,898.97 = 7,545.38 : x
  2. Step 2: Convert to fraction form
    27,265.34/40,898.97 = 7,545.38/x
  3. Step 3: Cross multiply
    27,265.34x = 40,898.97 × 7,545.38
  4. Step 4: Simplify right side
    27,265.34x = 308,598,065.76
  5. Step 5: Solve for x
    x = 308,598,065.76/27,265.34
  6. Step 6: Final answer
    x = 11,318.33

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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.