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Finding the Fourth Proportional to 7,744.64, 10,687.52 and 4,207.76

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Solution

The fourth proportional to 7,744.64, 10,687.52 and 4,207.76 is: 5,806.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.64 : 10,687.52 = 4,207.76 : x
  2. Step 2: Convert to fraction form
    7,744.64/10,687.52 = 4,207.76/x
  3. Step 3: Cross multiply
    7,744.64x = 10,687.52 × 4,207.76
  4. Step 4: Simplify right side
    7,744.64x = 44,970,519.16
  5. Step 5: Solve for x
    x = 44,970,519.16/7,744.64
  6. Step 6: Final answer
    x = 5,806.66

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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.