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Finding the Fourth Proportional to 11,166.32, 16,761.78 and 6,491.60

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Solution

The fourth proportional to 11,166.32, 16,761.78 and 6,491.60 is: 9,744.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,166.32 : 16,761.78 = 6,491.60 : x
  2. Step 2: Convert to fraction form
    11,166.32/16,761.78 = 6,491.60/x
  3. Step 3: Cross multiply
    11,166.32x = 16,761.78 × 6,491.60
  4. Step 4: Simplify right side
    11,166.32x = 108,810,771.05
  5. Step 5: Solve for x
    x = 108,810,771.05/11,166.32
  6. Step 6: Final answer
    x = 9,744.55

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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.