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Finding the Fourth Proportional to 10,899.75, 16,349.63 and 2,691.75

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Solution

The fourth proportional to 10,899.75, 16,349.63 and 2,691.75 is: 4,037.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,899.75 : 16,349.63 = 2,691.75 : x
  2. Step 2: Convert to fraction form
    10,899.75/16,349.63 = 2,691.75/x
  3. Step 3: Cross multiply
    10,899.75x = 16,349.63 × 2,691.75
  4. Step 4: Simplify right side
    10,899.75x = 44,009,103.09
  5. Step 5: Solve for x
    x = 44,009,103.09/10,899.75
  6. Step 6: Final answer
    x = 4,037.63

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Why These Related Problems?

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