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Finding the Fourth Proportional to 8,713.83, 13,046.82 and 6,083.96

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Solution

The fourth proportional to 8,713.83, 13,046.82 and 6,083.96 is: 9,109.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,713.83 : 13,046.82 = 6,083.96 : x
  2. Step 2: Convert to fraction form
    8,713.83/13,046.82 = 6,083.96/x
  3. Step 3: Cross multiply
    8,713.83x = 13,046.82 × 6,083.96
  4. Step 4: Simplify right side
    8,713.83x = 79,376,350.57
  5. Step 5: Solve for x
    x = 79,376,350.57/8,713.83
  6. Step 6: Final answer
    x = 9,109.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.