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Finding the Fourth Proportional to 8,122.31, 12,182.67 and 5,506.62

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Solution

The fourth proportional to 8,122.31, 12,182.67 and 5,506.62 is: 8,259.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.31 : 12,182.67 = 5,506.62 : x
  2. Step 2: Convert to fraction form
    8,122.31/12,182.67 = 5,506.62/x
  3. Step 3: Cross multiply
    8,122.31x = 12,182.67 × 5,506.62
  4. Step 4: Simplify right side
    8,122.31x = 67,085,288.59
  5. Step 5: Solve for x
    x = 67,085,288.59/8,122.31
  6. Step 6: Final answer
    x = 8,259.39

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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.