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Finding the Fourth Proportional to 7,743.59, 10,680.49 and 4,761.03

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Solution

The fourth proportional to 7,743.59, 10,680.49 and 4,761.03 is: 6,566.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,743.59 : 10,680.49 = 4,761.03 : x
  2. Step 2: Convert to fraction form
    7,743.59/10,680.49 = 4,761.03/x
  3. Step 3: Cross multiply
    7,743.59x = 10,680.49 × 4,761.03
  4. Step 4: Simplify right side
    7,743.59x = 50,850,133.30
  5. Step 5: Solve for x
    x = 50,850,133.30/7,743.59
  6. Step 6: Final answer
    x = 6,566.74

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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.