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Finding the Fourth Proportional to 11,693.88, 16,132.14 and 6,723

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Solution

The fourth proportional to 11,693.88, 16,132.14 and 6,723 is: 9,274.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.88 : 16,132.14 = 6,723 : x
  2. Step 2: Convert to fraction form
    11,693.88/16,132.14 = 6,723/x
  3. Step 3: Cross multiply
    11,693.88x = 16,132.14 × 6,723
  4. Step 4: Simplify right side
    11,693.88x = 108,456,377.22
  5. Step 5: Solve for x
    x = 108,456,377.22/11,693.88
  6. Step 6: Final answer
    x = 9,274.63

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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.