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Finding the Fourth Proportional to 12,091.76, 16,689.89 and 7,311.79

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Solution

The fourth proportional to 12,091.76, 16,689.89 and 7,311.79 is: 10,092.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,091.76 : 16,689.89 = 7,311.79 : x
  2. Step 2: Convert to fraction form
    12,091.76/16,689.89 = 7,311.79/x
  3. Step 3: Cross multiply
    12,091.76x = 16,689.89 × 7,311.79
  4. Step 4: Simplify right side
    12,091.76x = 122,033,005.47
  5. Step 5: Solve for x
    x = 122,033,005.47/12,091.76
  6. Step 6: Final answer
    x = 10,092.25

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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.