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Finding the Fourth Proportional to 8,254.41, 11,391.84 and 4,717.85

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Solution

The fourth proportional to 8,254.41, 11,391.84 and 4,717.85 is: 6,511.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254.41 : 11,391.84 = 4,717.85 : x
  2. Step 2: Convert to fraction form
    8,254.41/11,391.84 = 4,717.85/x
  3. Step 3: Cross multiply
    8,254.41x = 11,391.84 × 4,717.85
  4. Step 4: Simplify right side
    8,254.41x = 53,744,935.38
  5. Step 5: Solve for x
    x = 53,744,935.38/8,254.41
  6. Step 6: Final answer
    x = 6,511.06

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Why These Related Problems?

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