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Finding the Fourth Proportional to 8,087.39, 11,159.99 and 4,549.92

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Solution

The fourth proportional to 8,087.39, 11,159.99 and 4,549.92 is: 6,278.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,087.39 : 11,159.99 = 4,549.92 : x
  2. Step 2: Convert to fraction form
    8,087.39/11,159.99 = 4,549.92/x
  3. Step 3: Cross multiply
    8,087.39x = 11,159.99 × 4,549.92
  4. Step 4: Simplify right side
    8,087.39x = 50,777,102.53
  5. Step 5: Solve for x
    x = 50,777,102.53/8,087.39
  6. Step 6: Final answer
    x = 6,278.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.