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Finding the Fourth Proportional to 10,252.67, 15,379.43 and 5,319.14

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Solution

The fourth proportional to 10,252.67, 15,379.43 and 5,319.14 is: 7,978.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,252.67 : 15,379.43 = 5,319.14 : x
  2. Step 2: Convert to fraction form
    10,252.67/15,379.43 = 5,319.14/x
  3. Step 3: Cross multiply
    10,252.67x = 15,379.43 × 5,319.14
  4. Step 4: Simplify right side
    10,252.67x = 81,805,237.80
  5. Step 5: Solve for x
    x = 81,805,237.80/10,252.67
  6. Step 6: Final answer
    x = 7,978.92

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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.