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Finding the Fourth Proportional to 8,587.20, 12,877.20 and 2,742.24

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Solution

The fourth proportional to 8,587.20, 12,877.20 and 2,742.24 is: 4,112.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,587.20 : 12,877.20 = 2,742.24 : x
  2. Step 2: Convert to fraction form
    8,587.20/12,877.20 = 2,742.24/x
  3. Step 3: Cross multiply
    8,587.20x = 12,877.20 × 2,742.24
  4. Step 4: Simplify right side
    8,587.20x = 35,312,372.93
  5. Step 5: Solve for x
    x = 35,312,372.93/8,587.20
  6. Step 6: Final answer
    x = 4,112.21

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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.