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Finding the Fourth Proportional to 11,754.38, 17,620.34 and 4,356.86

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Solution

The fourth proportional to 11,754.38, 17,620.34 and 4,356.86 is: 6,531.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.38 : 17,620.34 = 4,356.86 : x
  2. Step 2: Convert to fraction form
    11,754.38/17,620.34 = 4,356.86/x
  3. Step 3: Cross multiply
    11,754.38x = 17,620.34 × 4,356.86
  4. Step 4: Simplify right side
    11,754.38x = 76,769,244.65
  5. Step 5: Solve for x
    x = 76,769,244.65/11,754.38
  6. Step 6: Final answer
    x = 6,531.12

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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.