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Finding the Fourth Proportional to 10,213.38, 15,290.82 and 6,920.61

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Solution

The fourth proportional to 10,213.38, 15,290.82 and 6,920.61 is: 10,361.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,213.38 : 15,290.82 = 6,920.61 : x
  2. Step 2: Convert to fraction form
    10,213.38/15,290.82 = 6,920.61/x
  3. Step 3: Cross multiply
    10,213.38x = 15,290.82 × 6,920.61
  4. Step 4: Simplify right side
    10,213.38x = 105,821,801.80
  5. Step 5: Solve for x
    x = 105,821,801.80/10,213.38
  6. Step 6: Final answer
    x = 10,361.10

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