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Finding the Fourth Proportional to 8,086.38, 11,159.16 and 4,549.62

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Solution

The fourth proportional to 8,086.38, 11,159.16 and 4,549.62 is: 6,278.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,086.38 : 11,159.16 = 4,549.62 : x
  2. Step 2: Convert to fraction form
    8,086.38/11,159.16 = 4,549.62/x
  3. Step 3: Cross multiply
    8,086.38x = 11,159.16 × 4,549.62
  4. Step 4: Simplify right side
    8,086.38x = 50,769,937.52
  5. Step 5: Solve for x
    x = 50,769,937.52/8,086.38
  6. Step 6: Final answer
    x = 6,278.45

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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.