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Finding the Fourth Proportional to 8,256.42, 11,391.08 and 4,717.12

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Solution

The fourth proportional to 8,256.42, 11,391.08 and 4,717.12 is: 6,508.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.42 : 11,391.08 = 4,717.12 : x
  2. Step 2: Convert to fraction form
    8,256.42/11,391.08 = 4,717.12/x
  3. Step 3: Cross multiply
    8,256.42x = 11,391.08 × 4,717.12
  4. Step 4: Simplify right side
    8,256.42x = 53,733,067.70
  5. Step 5: Solve for x
    x = 53,733,067.70/8,256.42
  6. Step 6: Final answer
    x = 6,508.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.