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Finding the Fourth Proportional to 7,744.29, 10,687.19 and 4,207.53

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Solution

The fourth proportional to 7,744.29, 10,687.19 and 4,207.53 is: 5,806.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.29 : 10,687.19 = 4,207.53 : x
  2. Step 2: Convert to fraction form
    7,744.29/10,687.19 = 4,207.53/x
  3. Step 3: Cross multiply
    7,744.29x = 10,687.19 × 4,207.53
  4. Step 4: Simplify right side
    7,744.29x = 44,966,672.54
  5. Step 5: Solve for x
    x = 44,966,672.54/7,744.29
  6. Step 6: Final answer
    x = 5,806.43

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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.