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Finding the Fourth Proportional to 7,132.44, 10,700 and 2,749.52

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Solution

The fourth proportional to 7,132.44, 10,700 and 2,749.52 is: 4,124.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132.44 : 10,700 = 2,749.52 : x
  2. Step 2: Convert to fraction form
    7,132.44/10,700 = 2,749.52/x
  3. Step 3: Cross multiply
    7,132.44x = 10,700 × 2,749.52
  4. Step 4: Simplify right side
    7,132.44x = 29,419,864
  5. Step 5: Solve for x
    x = 29,419,864/7,132.44
  6. Step 6: Final answer
    x = 4,124.80

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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.