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Finding the Fourth Proportional to 10,081.86, 13,912.70 and 5,890.10

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Solution

The fourth proportional to 10,081.86, 13,912.70 and 5,890.10 is: 8,128.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,081.86 : 13,912.70 = 5,890.10 : x
  2. Step 2: Convert to fraction form
    10,081.86/13,912.70 = 5,890.10/x
  3. Step 3: Cross multiply
    10,081.86x = 13,912.70 × 5,890.10
  4. Step 4: Simplify right side
    10,081.86x = 81,947,194.27
  5. Step 5: Solve for x
    x = 81,947,194.27/10,081.86
  6. Step 6: Final answer
    x = 8,128.18

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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.