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Finding the Fourth Proportional to 8,591.86, 11,857.53 and 5,233.87

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Solution

The fourth proportional to 8,591.86, 11,857.53 and 5,233.87 is: 7,223.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,591.86 : 11,857.53 = 5,233.87 : x
  2. Step 2: Convert to fraction form
    8,591.86/11,857.53 = 5,233.87/x
  3. Step 3: Cross multiply
    8,591.86x = 11,857.53 × 5,233.87
  4. Step 4: Simplify right side
    8,591.86x = 62,060,770.54
  5. Step 5: Solve for x
    x = 62,060,770.54/8,591.86
  6. Step 6: Final answer
    x = 7,223.21

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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.