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Finding the Fourth Proportional to 8,149.83, 11,253.66 and 5,170.95

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Solution

The fourth proportional to 8,149.83, 11,253.66 and 5,170.95 is: 7,140.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.83 : 11,253.66 = 5,170.95 : x
  2. Step 2: Convert to fraction form
    8,149.83/11,253.66 = 5,170.95/x
  3. Step 3: Cross multiply
    8,149.83x = 11,253.66 × 5,170.95
  4. Step 4: Simplify right side
    8,149.83x = 58,192,113.18
  5. Step 5: Solve for x
    x = 58,192,113.18/8,149.83
  6. Step 6: Final answer
    x = 7,140.29

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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.