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Finding the Fourth Proportional to 10,381.38, 15,546.96 and 7,264.50

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Solution

The fourth proportional to 10,381.38, 15,546.96 and 7,264.50 is: 10,879.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381.38 : 15,546.96 = 7,264.50 : x
  2. Step 2: Convert to fraction form
    10,381.38/15,546.96 = 7,264.50/x
  3. Step 3: Cross multiply
    10,381.38x = 15,546.96 × 7,264.50
  4. Step 4: Simplify right side
    10,381.38x = 112,940,890.92
  5. Step 5: Solve for x
    x = 112,940,890.92/10,381.38
  6. Step 6: Final answer
    x = 10,879.18

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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.