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Finding the Fourth Proportional to 11,566.80, 17,339.67 and 4,169.58

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Solution

The fourth proportional to 11,566.80, 17,339.67 and 4,169.58 is: 6,250.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,566.80 : 17,339.67 = 4,169.58 : x
  2. Step 2: Convert to fraction form
    11,566.80/17,339.67 = 4,169.58/x
  3. Step 3: Cross multiply
    11,566.80x = 17,339.67 × 4,169.58
  4. Step 4: Simplify right side
    11,566.80x = 72,299,076.21
  5. Step 5: Solve for x
    x = 72,299,076.21/11,566.80
  6. Step 6: Final answer
    x = 6,250.57

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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.