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Finding the Fourth Proportional to 7,441.92, 11,165.04 and 2,248.56

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Solution

The fourth proportional to 7,441.92, 11,165.04 and 2,248.56 is: 3,373.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,441.92 : 11,165.04 = 2,248.56 : x
  2. Step 2: Convert to fraction form
    7,441.92/11,165.04 = 2,248.56/x
  3. Step 3: Cross multiply
    7,441.92x = 11,165.04 × 2,248.56
  4. Step 4: Simplify right side
    7,441.92x = 25,105,262.34
  5. Step 5: Solve for x
    x = 25,105,262.34/7,441.92
  6. Step 6: Final answer
    x = 3,373.49

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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.