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Finding the Fourth Proportional to 7,774.48, 11,658.27 and 2,226.56

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Solution

The fourth proportional to 7,774.48, 11,658.27 and 2,226.56 is: 3,338.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.48 : 11,658.27 = 2,226.56 : x
  2. Step 2: Convert to fraction form
    7,774.48/11,658.27 = 2,226.56/x
  3. Step 3: Cross multiply
    7,774.48x = 11,658.27 × 2,226.56
  4. Step 4: Simplify right side
    7,774.48x = 25,957,837.65
  5. Step 5: Solve for x
    x = 25,957,837.65/7,774.48
  6. Step 6: Final answer
    x = 3,338.85

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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.