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Finding the Fourth Proportional to 10,065.98, 13,891.12 and 5,817.06

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Solution

The fourth proportional to 10,065.98, 13,891.12 and 5,817.06 is: 8,027.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,065.98 : 13,891.12 = 5,817.06 : x
  2. Step 2: Convert to fraction form
    10,065.98/13,891.12 = 5,817.06/x
  3. Step 3: Cross multiply
    10,065.98x = 13,891.12 × 5,817.06
  4. Step 4: Simplify right side
    10,065.98x = 80,805,463.96
  5. Step 5: Solve for x
    x = 80,805,463.96/10,065.98
  6. Step 6: Final answer
    x = 8,027.58

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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.