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Finding the Fourth Proportional to 8,587.72, 12,881.16 and 2,744.08

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Solution

The fourth proportional to 8,587.72, 12,881.16 and 2,744.08 is: 4,115.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,587.72 : 12,881.16 = 2,744.08 : x
  2. Step 2: Convert to fraction form
    8,587.72/12,881.16 = 2,744.08/x
  3. Step 3: Cross multiply
    8,587.72x = 12,881.16 × 2,744.08
  4. Step 4: Simplify right side
    8,587.72x = 35,346,933.53
  5. Step 5: Solve for x
    x = 35,346,933.53/8,587.72
  6. Step 6: Final answer
    x = 4,115.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.