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Finding the Fourth Proportional to 10,033.14, 13,846.95 and 5,841.42

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Solution

The fourth proportional to 10,033.14, 13,846.95 and 5,841.42 is: 8,061.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,033.14 : 13,846.95 = 5,841.42 : x
  2. Step 2: Convert to fraction form
    10,033.14/13,846.95 = 5,841.42/x
  3. Step 3: Cross multiply
    10,033.14x = 13,846.95 × 5,841.42
  4. Step 4: Simplify right side
    10,033.14x = 80,885,850.67
  5. Step 5: Solve for x
    x = 80,885,850.67/10,033.14
  6. Step 6: Final answer
    x = 8,061.87

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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.