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Finding the Fourth Proportional to 10,033.18, 15,049.70 and 7,843.75

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Solution

The fourth proportional to 10,033.18, 15,049.70 and 7,843.75 is: 11,765.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,033.18 : 15,049.70 = 7,843.75 : x
  2. Step 2: Convert to fraction form
    10,033.18/15,049.70 = 7,843.75/x
  3. Step 3: Cross multiply
    10,033.18x = 15,049.70 × 7,843.75
  4. Step 4: Simplify right side
    10,033.18x = 118,046,084.38
  5. Step 5: Solve for x
    x = 118,046,084.38/10,033.18
  6. Step 6: Final answer
    x = 11,765.57

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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.