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Finding the Fourth Proportional to 11,842.77, 16,344.80 and 7,367.95

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Solution

The fourth proportional to 11,842.77, 16,344.80 and 7,367.95 is: 10,168.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.77 : 16,344.80 = 7,367.95 : x
  2. Step 2: Convert to fraction form
    11,842.77/16,344.80 = 7,367.95/x
  3. Step 3: Cross multiply
    11,842.77x = 16,344.80 × 7,367.95
  4. Step 4: Simplify right side
    11,842.77x = 120,427,669.16
  5. Step 5: Solve for x
    x = 120,427,669.16/11,842.77
  6. Step 6: Final answer
    x = 10,168.88

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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.