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Finding the Fourth Proportional to 10,079.96, 13,910.27 and 5,830.97

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Solution

The fourth proportional to 10,079.96, 13,910.27 and 5,830.97 is: 8,046.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,079.96 : 13,910.27 = 5,830.97 : x
  2. Step 2: Convert to fraction form
    10,079.96/13,910.27 = 5,830.97/x
  3. Step 3: Cross multiply
    10,079.96x = 13,910.27 × 5,830.97
  4. Step 4: Simplify right side
    10,079.96x = 81,110,268.36
  5. Step 5: Solve for x
    x = 81,110,268.36/10,079.96
  6. Step 6: Final answer
    x = 8,046.69

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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.