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Finding the Fourth Proportional to 10,843.96, 16,266.30 and 6,451.72

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Solution

The fourth proportional to 10,843.96, 16,266.30 and 6,451.72 is: 9,677.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,843.96 : 16,266.30 = 6,451.72 : x
  2. Step 2: Convert to fraction form
    10,843.96/16,266.30 = 6,451.72/x
  3. Step 3: Cross multiply
    10,843.96x = 16,266.30 × 6,451.72
  4. Step 4: Simplify right side
    10,843.96x = 104,945,613.04
  5. Step 5: Solve for x
    x = 104,945,613.04/10,843.96
  6. Step 6: Final answer
    x = 9,677.79

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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.