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Finding the Fourth Proportional to 7,774.57, 11,658.21 and 3,388.42

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Solution

The fourth proportional to 7,774.57, 11,658.21 and 3,388.42 is: 5,081.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.57 : 11,658.21 = 3,388.42 : x
  2. Step 2: Convert to fraction form
    7,774.57/11,658.21 = 3,388.42/x
  3. Step 3: Cross multiply
    7,774.57x = 11,658.21 × 3,388.42
  4. Step 4: Simplify right side
    7,774.57x = 39,502,911.93
  5. Step 5: Solve for x
    x = 39,502,911.93/7,774.57
  6. Step 6: Final answer
    x = 5,081.04

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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.