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Finding the Fourth Proportional to 10,909.80, 16,364.70 and 8,452.20

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Solution

The fourth proportional to 10,909.80, 16,364.70 and 8,452.20 is: 12,678.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,909.80 : 16,364.70 = 8,452.20 : x
  2. Step 2: Convert to fraction form
    10,909.80/16,364.70 = 8,452.20/x
  3. Step 3: Cross multiply
    10,909.80x = 16,364.70 × 8,452.20
  4. Step 4: Simplify right side
    10,909.80x = 138,317,717.34
  5. Step 5: Solve for x
    x = 138,317,717.34/10,909.80
  6. Step 6: Final answer
    x = 12,678.30

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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.