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Finding the Fourth Proportional to 7,743.67, 10,691.40 and 5,947.94

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Solution

The fourth proportional to 7,743.67, 10,691.40 and 5,947.94 is: 8,212.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,743.67 : 10,691.40 = 5,947.94 : x
  2. Step 2: Convert to fraction form
    7,743.67/10,691.40 = 5,947.94/x
  3. Step 3: Cross multiply
    7,743.67x = 10,691.40 × 5,947.94
  4. Step 4: Simplify right side
    7,743.67x = 63,591,784.17
  5. Step 5: Solve for x
    x = 63,591,784.17/7,743.67
  6. Step 6: Final answer
    x = 8,212.10

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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.