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Finding the Fourth Proportional to 7,744.58, 10,687.53 and 4,207.79

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Solution

The fourth proportional to 7,744.58, 10,687.53 and 4,207.79 is: 5,806.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.58 : 10,687.53 = 4,207.79 : x
  2. Step 2: Convert to fraction form
    7,744.58/10,687.53 = 4,207.79/x
  3. Step 3: Cross multiply
    7,744.58x = 10,687.53 × 4,207.79
  4. Step 4: Simplify right side
    7,744.58x = 44,970,881.86
  5. Step 5: Solve for x
    x = 44,970,881.86/7,744.58
  6. Step 6: Final answer
    x = 5,806.76

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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.