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Finding the Fourth Proportional to 8,177.86, 11,291.15 and 5,493.17

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Solution

The fourth proportional to 8,177.86, 11,291.15 and 5,493.17 is: 7,584.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177.86 : 11,291.15 = 5,493.17 : x
  2. Step 2: Convert to fraction form
    8,177.86/11,291.15 = 5,493.17/x
  3. Step 3: Cross multiply
    8,177.86x = 11,291.15 × 5,493.17
  4. Step 4: Simplify right side
    8,177.86x = 62,024,153.99
  5. Step 5: Solve for x
    x = 62,024,153.99/8,177.86
  6. Step 6: Final answer
    x = 7,584.40

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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.