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Finding the Fourth Proportional to 7,472.73, 11,209.10 and 2,278.56

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Solution

The fourth proportional to 7,472.73, 11,209.10 and 2,278.56 is: 3,417.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,472.73 : 11,209.10 = 2,278.56 : x
  2. Step 2: Convert to fraction form
    7,472.73/11,209.10 = 2,278.56/x
  3. Step 3: Cross multiply
    7,472.73x = 11,209.10 × 2,278.56
  4. Step 4: Simplify right side
    7,472.73x = 25,540,595.50
  5. Step 5: Solve for x
    x = 25,540,595.50/7,472.73
  6. Step 6: Final answer
    x = 3,417.84

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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.