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Finding the Fourth Proportional to 10,269.57, 15,371.49 and 5,332.44

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Solution

The fourth proportional to 10,269.57, 15,371.49 and 5,332.44 is: 7,981.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,269.57 : 15,371.49 = 5,332.44 : x
  2. Step 2: Convert to fraction form
    10,269.57/15,371.49 = 5,332.44/x
  3. Step 3: Cross multiply
    10,269.57x = 15,371.49 × 5,332.44
  4. Step 4: Simplify right side
    10,269.57x = 81,967,548.14
  5. Step 5: Solve for x
    x = 81,967,548.14/10,269.57
  6. Step 6: Final answer
    x = 7,981.59

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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.