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Finding the Fourth Proportional to 10,391.46, 15,578.28 and 3,814.26

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Solution

The fourth proportional to 10,391.46, 15,578.28 and 3,814.26 is: 5,718.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,391.46 : 15,578.28 = 3,814.26 : x
  2. Step 2: Convert to fraction form
    10,391.46/15,578.28 = 3,814.26/x
  3. Step 3: Cross multiply
    10,391.46x = 15,578.28 × 3,814.26
  4. Step 4: Simplify right side
    10,391.46x = 59,419,610.27
  5. Step 5: Solve for x
    x = 59,419,610.27/10,391.46
  6. Step 6: Final answer
    x = 5,718.12

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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.