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Finding the Fourth Proportional to 12,282.26, 16,952.25 and 7,805.13

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Solution

The fourth proportional to 12,282.26, 16,952.25 and 7,805.13 is: 10,772.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,282.26 : 16,952.25 = 7,805.13 : x
  2. Step 2: Convert to fraction form
    12,282.26/16,952.25 = 7,805.13/x
  3. Step 3: Cross multiply
    12,282.26x = 16,952.25 × 7,805.13
  4. Step 4: Simplify right side
    12,282.26x = 132,314,590.85
  5. Step 5: Solve for x
    x = 132,314,590.85/12,282.26
  6. Step 6: Final answer
    x = 10,772.82

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