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Finding the Fourth Proportional to 11,586.60, 17,336.84 and 6,909.15

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Solution

The fourth proportional to 11,586.60, 17,336.84 and 6,909.15 is: 10,338.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586.60 : 17,336.84 = 6,909.15 : x
  2. Step 2: Convert to fraction form
    11,586.60/17,336.84 = 6,909.15/x
  3. Step 3: Cross multiply
    11,586.60x = 17,336.84 × 6,909.15
  4. Step 4: Simplify right side
    11,586.60x = 119,782,793.54
  5. Step 5: Solve for x
    x = 119,782,793.54/11,586.60
  6. Step 6: Final answer
    x = 10,338.05

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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.