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Finding the Fourth Proportional to 10,519.38, 15,781.23 and 4,279.38

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Solution

The fourth proportional to 10,519.38, 15,781.23 and 4,279.38 is: 6,419.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,519.38 : 15,781.23 = 4,279.38 : x
  2. Step 2: Convert to fraction form
    10,519.38/15,781.23 = 4,279.38/x
  3. Step 3: Cross multiply
    10,519.38x = 15,781.23 × 4,279.38
  4. Step 4: Simplify right side
    10,519.38x = 67,533,820.86
  5. Step 5: Solve for x
    x = 67,533,820.86/10,519.38
  6. Step 6: Final answer
    x = 6,419.94

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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.