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Finding the Fourth Proportional to 7,744.73, 11,610.57 and 3,358.89

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Solution

The fourth proportional to 7,744.73, 11,610.57 and 3,358.89 is: 5,035.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.73 : 11,610.57 = 3,358.89 : x
  2. Step 2: Convert to fraction form
    7,744.73/11,610.57 = 3,358.89/x
  3. Step 3: Cross multiply
    7,744.73x = 11,610.57 × 3,358.89
  4. Step 4: Simplify right side
    7,744.73x = 38,998,552.62
  5. Step 5: Solve for x
    x = 38,998,552.62/7,744.73
  6. Step 6: Final answer
    x = 5,035.50

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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.