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Finding the Fourth Proportional to 10,519.86, 15,785.82 and 4,278.72

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Solution

The fourth proportional to 10,519.86, 15,785.82 and 4,278.72 is: 6,420.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,519.86 : 15,785.82 = 4,278.72 : x
  2. Step 2: Convert to fraction form
    10,519.86/15,785.82 = 4,278.72/x
  3. Step 3: Cross multiply
    10,519.86x = 15,785.82 × 4,278.72
  4. Step 4: Simplify right side
    10,519.86x = 67,543,103.75
  5. Step 5: Solve for x
    x = 67,543,103.75/10,519.86
  6. Step 6: Final answer
    x = 6,420.53

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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.