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Finding the Fourth Proportional to 8,033.84, 12,105.61 and 6,605

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Solution

The fourth proportional to 8,033.84, 12,105.61 and 6,605 is: 9,952.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,033.84 : 12,105.61 = 6,605 : x
  2. Step 2: Convert to fraction form
    8,033.84/12,105.61 = 6,605/x
  3. Step 3: Cross multiply
    8,033.84x = 12,105.61 × 6,605
  4. Step 4: Simplify right side
    8,033.84x = 79,957,554.05
  5. Step 5: Solve for x
    x = 79,957,554.05/8,033.84
  6. Step 6: Final answer
    x = 9,952.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.