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Finding the Fourth Proportional to 8,140.92, 12,202 and 3,749.16

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Solution

The fourth proportional to 8,140.92, 12,202 and 3,749.16 is: 5,619.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.92 : 12,202 = 3,749.16 : x
  2. Step 2: Convert to fraction form
    8,140.92/12,202 = 3,749.16/x
  3. Step 3: Cross multiply
    8,140.92x = 12,202 × 3,749.16
  4. Step 4: Simplify right side
    8,140.92x = 45,747,250.32
  5. Step 5: Solve for x
    x = 45,747,250.32/8,140.92
  6. Step 6: Final answer
    x = 5,619.42

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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.