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Finding the Fourth Proportional to 10,205.25, 15,297.07 and 5,813.29

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Solution

The fourth proportional to 10,205.25, 15,297.07 and 5,813.29 is: 8,713.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.25 : 15,297.07 = 5,813.29 : x
  2. Step 2: Convert to fraction form
    10,205.25/15,297.07 = 5,813.29/x
  3. Step 3: Cross multiply
    10,205.25x = 15,297.07 × 5,813.29
  4. Step 4: Simplify right side
    10,205.25x = 88,926,304.06
  5. Step 5: Solve for x
    x = 88,926,304.06/10,205.25
  6. Step 6: Final answer
    x = 8,713.78

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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.