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Finding the Fourth Proportional to 7,129.40, 10,691 and 2,743.78

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Solution

The fourth proportional to 7,129.40, 10,691 and 2,743.78 is: 4,114.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.40 : 10,691 = 2,743.78 : x
  2. Step 2: Convert to fraction form
    7,129.40/10,691 = 2,743.78/x
  3. Step 3: Cross multiply
    7,129.40x = 10,691 × 2,743.78
  4. Step 4: Simplify right side
    7,129.40x = 29,333,751.98
  5. Step 5: Solve for x
    x = 29,333,751.98/7,129.40
  6. Step 6: Final answer
    x = 4,114.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.