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Finding the Fourth Proportional to 8,834.83, 12,186.99 and 5,517.07

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Solution

The fourth proportional to 8,834.83, 12,186.99 and 5,517.07 is: 7,610.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,834.83 : 12,186.99 = 5,517.07 : x
  2. Step 2: Convert to fraction form
    8,834.83/12,186.99 = 5,517.07/x
  3. Step 3: Cross multiply
    8,834.83x = 12,186.99 × 5,517.07
  4. Step 4: Simplify right side
    8,834.83x = 67,236,476.92
  5. Step 5: Solve for x
    x = 67,236,476.92/8,834.83
  6. Step 6: Final answer
    x = 7,610.39

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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.