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Finding the Fourth Proportional to 10,067.48, 13,891.05 and 5,817.02

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Solution

The fourth proportional to 10,067.48, 13,891.05 and 5,817.02 is: 8,026.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,067.48 : 13,891.05 = 5,817.02 : x
  2. Step 2: Convert to fraction form
    10,067.48/13,891.05 = 5,817.02/x
  3. Step 3: Cross multiply
    10,067.48x = 13,891.05 × 5,817.02
  4. Step 4: Simplify right side
    10,067.48x = 80,804,515.67
  5. Step 5: Solve for x
    x = 80,804,515.67/10,067.48
  6. Step 6: Final answer
    x = 8,026.29

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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.