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Finding the Fourth Proportional to 10,143.78, 13,999.14 and 5,896.20

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Solution

The fourth proportional to 10,143.78, 13,999.14 and 5,896.20 is: 8,137.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,143.78 : 13,999.14 = 5,896.20 : x
  2. Step 2: Convert to fraction form
    10,143.78/13,999.14 = 5,896.20/x
  3. Step 3: Cross multiply
    10,143.78x = 13,999.14 × 5,896.20
  4. Step 4: Simplify right side
    10,143.78x = 82,541,729.27
  5. Step 5: Solve for x
    x = 82,541,729.27/10,143.78
  6. Step 6: Final answer
    x = 8,137.18

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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.