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Finding the Fourth Proportional to 10,055.91, 13,878.39 and 5,806.97

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Solution

The fourth proportional to 10,055.91, 13,878.39 and 5,806.97 is: 8,014.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,055.91 : 13,878.39 = 5,806.97 : x
  2. Step 2: Convert to fraction form
    10,055.91/13,878.39 = 5,806.97/x
  3. Step 3: Cross multiply
    10,055.91x = 13,878.39 × 5,806.97
  4. Step 4: Simplify right side
    10,055.91x = 80,591,398.81
  5. Step 5: Solve for x
    x = 80,591,398.81/10,055.91
  6. Step 6: Final answer
    x = 8,014.33

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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.