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Finding the Fourth Proportional to 10,033.04, 13,846.92 and 5,841.20

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Solution

The fourth proportional to 10,033.04, 13,846.92 and 5,841.20 is: 8,061.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,033.04 : 13,846.92 = 5,841.20 : x
  2. Step 2: Convert to fraction form
    10,033.04/13,846.92 = 5,841.20/x
  3. Step 3: Cross multiply
    10,033.04x = 13,846.92 × 5,841.20
  4. Step 4: Simplify right side
    10,033.04x = 80,882,629.10
  5. Step 5: Solve for x
    x = 80,882,629.10/10,033.04
  6. Step 6: Final answer
    x = 8,061.63

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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.