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Finding the Fourth Proportional to 10,142.90, 14,014.91 and 8,371.43

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Solution

The fourth proportional to 10,142.90, 14,014.91 and 8,371.43 is: 11,567.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142.90 : 14,014.91 = 8,371.43 : x
  2. Step 2: Convert to fraction form
    10,142.90/14,014.91 = 8,371.43/x
  3. Step 3: Cross multiply
    10,142.90x = 14,014.91 × 8,371.43
  4. Step 4: Simplify right side
    10,142.90x = 117,324,790.24
  5. Step 5: Solve for x
    x = 117,324,790.24/10,142.90
  6. Step 6: Final answer
    x = 11,567.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.