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Finding the Fourth Proportional to 8,132.56, 12,194.48 and 2,584.40

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Solution

The fourth proportional to 8,132.56, 12,194.48 and 2,584.40 is: 3,875.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132.56 : 12,194.48 = 2,584.40 : x
  2. Step 2: Convert to fraction form
    8,132.56/12,194.48 = 2,584.40/x
  3. Step 3: Cross multiply
    8,132.56x = 12,194.48 × 2,584.40
  4. Step 4: Simplify right side
    8,132.56x = 31,515,414.11
  5. Step 5: Solve for x
    x = 31,515,414.11/8,132.56
  6. Step 6: Final answer
    x = 3,875.21

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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.