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Finding the Fourth Proportional to 7,744.69, 10,687.65 and 4,207.87

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Solution

The fourth proportional to 7,744.69, 10,687.65 and 4,207.87 is: 5,806.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.69 : 10,687.65 = 4,207.87 : x
  2. Step 2: Convert to fraction form
    7,744.69/10,687.65 = 4,207.87/x
  3. Step 3: Cross multiply
    7,744.69x = 10,687.65 × 4,207.87
  4. Step 4: Simplify right side
    7,744.69x = 44,972,241.81
  5. Step 5: Solve for x
    x = 44,972,241.81/7,744.69
  6. Step 6: Final answer
    x = 5,806.85

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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.