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Finding the Fourth Proportional to 8,033.96, 12,105.83 and 6,605.12

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Solution

The fourth proportional to 8,033.96, 12,105.83 and 6,605.12 is: 9,952.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,033.96 : 12,105.83 = 6,605.12 : x
  2. Step 2: Convert to fraction form
    8,033.96/12,105.83 = 6,605.12/x
  3. Step 3: Cross multiply
    8,033.96x = 12,105.83 × 6,605.12
  4. Step 4: Simplify right side
    8,033.96x = 79,960,459.85
  5. Step 5: Solve for x
    x = 79,960,459.85/8,033.96
  6. Step 6: Final answer
    x = 9,952.81

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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.