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Finding the Fourth Proportional to 7,254.92, 10,892.63 and 3,747.52

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Solution

The fourth proportional to 7,254.92, 10,892.63 and 3,747.52 is: 5,626.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,254.92 : 10,892.63 = 3,747.52 : x
  2. Step 2: Convert to fraction form
    7,254.92/10,892.63 = 3,747.52/x
  3. Step 3: Cross multiply
    7,254.92x = 10,892.63 × 3,747.52
  4. Step 4: Simplify right side
    7,254.92x = 40,820,289.41
  5. Step 5: Solve for x
    x = 40,820,289.41/7,254.92
  6. Step 6: Final answer
    x = 5,626.57

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Why These Related Problems?

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