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Finding the Fourth Proportional to 7,743.80, 10,687.37 and 4,600

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Solution

The fourth proportional to 7,743.80, 10,687.37 and 4,600 is: 6,348.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,743.80 : 10,687.37 = 4,600 : x
  2. Step 2: Convert to fraction form
    7,743.80/10,687.37 = 4,600/x
  3. Step 3: Cross multiply
    7,743.80x = 10,687.37 × 4,600
  4. Step 4: Simplify right side
    7,743.80x = 49,161,902
  5. Step 5: Solve for x
    x = 49,161,902/7,743.80
  6. Step 6: Final answer
    x = 6,348.55

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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.