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Finding the Fourth Proportional to 7,441.76, 11,161.12 and 2,248.48

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Solution

The fourth proportional to 7,441.76, 11,161.12 and 2,248.48 is: 3,372.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,441.76 : 11,161.12 = 2,248.48 : x
  2. Step 2: Convert to fraction form
    7,441.76/11,161.12 = 2,248.48/x
  3. Step 3: Cross multiply
    7,441.76x = 11,161.12 × 2,248.48
  4. Step 4: Simplify right side
    7,441.76x = 25,095,555.10
  5. Step 5: Solve for x
    x = 25,095,555.10/7,441.76
  6. Step 6: Final answer
    x = 3,372.26

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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.