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Finding the Fourth Proportional to 8,256.86, 11,391.68 and 4,717.56

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Solution

The fourth proportional to 8,256.86, 11,391.68 and 4,717.56 is: 6,508.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.86 : 11,391.68 = 4,717.56 : x
  2. Step 2: Convert to fraction form
    8,256.86/11,391.68 = 4,717.56/x
  3. Step 3: Cross multiply
    8,256.86x = 11,391.68 × 4,717.56
  4. Step 4: Simplify right side
    8,256.86x = 53,740,933.90
  5. Step 5: Solve for x
    x = 53,740,933.90/8,256.86
  6. Step 6: Final answer
    x = 6,508.64

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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.