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Finding the Fourth Proportional to 10,843.98, 16,254.89 and 6,154.08

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Solution

The fourth proportional to 10,843.98, 16,254.89 and 6,154.08 is: 9,224.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,843.98 : 16,254.89 = 6,154.08 : x
  2. Step 2: Convert to fraction form
    10,843.98/16,254.89 = 6,154.08/x
  3. Step 3: Cross multiply
    10,843.98x = 16,254.89 × 6,154.08
  4. Step 4: Simplify right side
    10,843.98x = 100,033,807.49
  5. Step 5: Solve for x
    x = 100,033,807.49/10,843.98
  6. Step 6: Final answer
    x = 9,224.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.