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Finding the Fourth Proportional to 12,591.14, 17,376.46 and 7,287.66

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Solution

The fourth proportional to 12,591.14, 17,376.46 and 7,287.66 is: 10,057.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,591.14 : 17,376.46 = 7,287.66 : x
  2. Step 2: Convert to fraction form
    12,591.14/17,376.46 = 7,287.66/x
  3. Step 3: Cross multiply
    12,591.14x = 17,376.46 × 7,287.66
  4. Step 4: Simplify right side
    12,591.14x = 126,633,714.26
  5. Step 5: Solve for x
    x = 126,633,714.26/12,591.14
  6. Step 6: Final answer
    x = 10,057.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.