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Finding the Fourth Proportional to 8,278.05, 12,425.31 and 5,158.86

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Solution

The fourth proportional to 8,278.05, 12,425.31 and 5,158.86 is: 7,743.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.05 : 12,425.31 = 5,158.86 : x
  2. Step 2: Convert to fraction form
    8,278.05/12,425.31 = 5,158.86/x
  3. Step 3: Cross multiply
    8,278.05x = 12,425.31 × 5,158.86
  4. Step 4: Simplify right side
    8,278.05x = 64,100,434.75
  5. Step 5: Solve for x
    x = 64,100,434.75/8,278.05
  6. Step 6: Final answer
    x = 7,743.42

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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.