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Finding the Fourth Proportional to 10,065.73, 13,889.69 and 5,876.41

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Solution

The fourth proportional to 10,065.73, 13,889.69 and 5,876.41 is: 8,108.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,065.73 : 13,889.69 = 5,876.41 : x
  2. Step 2: Convert to fraction form
    10,065.73/13,889.69 = 5,876.41/x
  3. Step 3: Cross multiply
    10,065.73x = 13,889.69 × 5,876.41
  4. Step 4: Simplify right side
    10,065.73x = 81,621,471.14
  5. Step 5: Solve for x
    x = 81,621,471.14/10,065.73
  6. Step 6: Final answer
    x = 8,108.85

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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.