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Finding the Fourth Proportional to 8,156.86, 12,245.28 and 5,385.88

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Solution

The fourth proportional to 8,156.86, 12,245.28 and 5,385.88 is: 8,085.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156.86 : 12,245.28 = 5,385.88 : x
  2. Step 2: Convert to fraction form
    8,156.86/12,245.28 = 5,385.88/x
  3. Step 3: Cross multiply
    8,156.86x = 12,245.28 × 5,385.88
  4. Step 4: Simplify right side
    8,156.86x = 65,951,608.65
  5. Step 5: Solve for x
    x = 65,951,608.65/8,156.86
  6. Step 6: Final answer
    x = 8,085.42

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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.