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Finding the Fourth Proportional to 7,648.32, 11,469.96 and 2,452.92

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Solution

The fourth proportional to 7,648.32, 11,469.96 and 2,452.92 is: 3,678.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.32 : 11,469.96 = 2,452.92 : x
  2. Step 2: Convert to fraction form
    7,648.32/11,469.96 = 2,452.92/x
  3. Step 3: Cross multiply
    7,648.32x = 11,469.96 × 2,452.92
  4. Step 4: Simplify right side
    7,648.32x = 28,134,894.28
  5. Step 5: Solve for x
    x = 28,134,894.28/7,648.32
  6. Step 6: Final answer
    x = 3,678.57

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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.