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Finding the Fourth Proportional to 10,809.60, 16,175.79 and 6,650.52

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Solution

The fourth proportional to 10,809.60, 16,175.79 and 6,650.52 is: 9,952.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809.60 : 16,175.79 = 6,650.52 : x
  2. Step 2: Convert to fraction form
    10,809.60/16,175.79 = 6,650.52/x
  3. Step 3: Cross multiply
    10,809.60x = 16,175.79 × 6,650.52
  4. Step 4: Simplify right side
    10,809.60x = 107,577,414.91
  5. Step 5: Solve for x
    x = 107,577,414.91/10,809.60
  6. Step 6: Final answer
    x = 9,952.03

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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.