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Finding the Fourth Proportional to 8,234.46, 11,364.89 and 5,049.52

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Solution

The fourth proportional to 8,234.46, 11,364.89 and 5,049.52 is: 6,969.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.46 : 11,364.89 = 5,049.52 : x
  2. Step 2: Convert to fraction form
    8,234.46/11,364.89 = 5,049.52/x
  3. Step 3: Cross multiply
    8,234.46x = 11,364.89 × 5,049.52
  4. Step 4: Simplify right side
    8,234.46x = 57,387,278.02
  5. Step 5: Solve for x
    x = 57,387,278.02/8,234.46
  6. Step 6: Final answer
    x = 6,969.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.