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Finding the Fourth Proportional to 11,169.32, 16,754.56 and 7,897

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Solution

The fourth proportional to 11,169.32, 16,754.56 and 7,897 is: 11,845.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,169.32 : 16,754.56 = 7,897 : x
  2. Step 2: Convert to fraction form
    11,169.32/16,754.56 = 7,897/x
  3. Step 3: Cross multiply
    11,169.32x = 16,754.56 × 7,897
  4. Step 4: Simplify right side
    11,169.32x = 132,310,760.32
  5. Step 5: Solve for x
    x = 132,310,760.32/11,169.32
  6. Step 6: Final answer
    x = 11,845.91

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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.