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Finding the Fourth Proportional to 10,540.32, 15,821.15 and 5,279.10

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Solution

The fourth proportional to 10,540.32, 15,821.15 and 5,279.10 is: 7,923.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,540.32 : 15,821.15 = 5,279.10 : x
  2. Step 2: Convert to fraction form
    10,540.32/15,821.15 = 5,279.10/x
  3. Step 3: Cross multiply
    10,540.32x = 15,821.15 × 5,279.10
  4. Step 4: Simplify right side
    10,540.32x = 83,521,432.97
  5. Step 5: Solve for x
    x = 83,521,432.97/10,540.32
  6. Step 6: Final answer
    x = 7,923.99

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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.