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Finding the Fourth Proportional to 10,515.69, 15,771.30 and 3,942.36

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Solution

The fourth proportional to 10,515.69, 15,771.30 and 3,942.36 is: 5,912.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,515.69 : 15,771.30 = 3,942.36 : x
  2. Step 2: Convert to fraction form
    10,515.69/15,771.30 = 3,942.36/x
  3. Step 3: Cross multiply
    10,515.69x = 15,771.30 × 3,942.36
  4. Step 4: Simplify right side
    10,515.69x = 62,176,083.13
  5. Step 5: Solve for x
    x = 62,176,083.13/10,515.69
  6. Step 6: Final answer
    x = 5,912.70

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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.