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Finding the Fourth Proportional to 8,144.87, 11,242.82 and 4,956.71

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Solution

The fourth proportional to 8,144.87, 11,242.82 and 4,956.71 is: 6,842.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.87 : 11,242.82 = 4,956.71 : x
  2. Step 2: Convert to fraction form
    8,144.87/11,242.82 = 4,956.71/x
  3. Step 3: Cross multiply
    8,144.87x = 11,242.82 × 4,956.71
  4. Step 4: Simplify right side
    8,144.87x = 55,727,398.32
  5. Step 5: Solve for x
    x = 55,727,398.32/8,144.87
  6. Step 6: Final answer
    x = 6,842.02

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