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Finding the Fourth Proportional to 8,256.96, 11,391.84 and 4,717.68

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Solution

The fourth proportional to 8,256.96, 11,391.84 and 4,717.68 is: 6,508.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.96 : 11,391.84 = 4,717.68 : x
  2. Step 2: Convert to fraction form
    8,256.96/11,391.84 = 4,717.68/x
  3. Step 3: Cross multiply
    8,256.96x = 11,391.84 × 4,717.68
  4. Step 4: Simplify right side
    8,256.96x = 53,743,055.73
  5. Step 5: Solve for x
    x = 53,743,055.73/8,256.96
  6. Step 6: Final answer
    x = 6,508.82

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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.