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Finding the Fourth Proportional to 8,256.74, 11,391.51 and 4,717.44

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Solution

The fourth proportional to 8,256.74, 11,391.51 and 4,717.44 is: 6,508.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.74 : 11,391.51 = 4,717.44 : x
  2. Step 2: Convert to fraction form
    8,256.74/11,391.51 = 4,717.44/x
  3. Step 3: Cross multiply
    8,256.74x = 11,391.51 × 4,717.44
  4. Step 4: Simplify right side
    8,256.74x = 53,738,764.93
  5. Step 5: Solve for x
    x = 53,738,764.93/8,256.74
  6. Step 6: Final answer
    x = 6,508.48

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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.