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Finding the Fourth Proportional to 8,111.87, 12,171.56 and 3,182.82

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Solution

The fourth proportional to 8,111.87, 12,171.56 and 3,182.82 is: 4,775.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.87 : 12,171.56 = 3,182.82 : x
  2. Step 2: Convert to fraction form
    8,111.87/12,171.56 = 3,182.82/x
  3. Step 3: Cross multiply
    8,111.87x = 12,171.56 × 3,182.82
  4. Step 4: Simplify right side
    8,111.87x = 38,739,900.46
  5. Step 5: Solve for x
    x = 38,739,900.46/8,111.87
  6. Step 6: Final answer
    x = 4,775.70

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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.