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Finding the Fourth Proportional to 7,743.64, 10,689.49 and 5,229.15

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Solution

The fourth proportional to 7,743.64, 10,689.49 and 5,229.15 is: 7,218.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,743.64 : 10,689.49 = 5,229.15 : x
  2. Step 2: Convert to fraction form
    7,743.64/10,689.49 = 5,229.15/x
  3. Step 3: Cross multiply
    7,743.64x = 10,689.49 × 5,229.15
  4. Step 4: Simplify right side
    7,743.64x = 55,896,946.63
  5. Step 5: Solve for x
    x = 55,896,946.63/7,743.64
  6. Step 6: Final answer
    x = 7,218.43

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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.