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Finding the Fourth Proportional to 10,878.35, 16,319.57 and 3,480.82

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Solution

The fourth proportional to 10,878.35, 16,319.57 and 3,480.82 is: 5,221.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,878.35 : 16,319.57 = 3,480.82 : x
  2. Step 2: Convert to fraction form
    10,878.35/16,319.57 = 3,480.82/x
  3. Step 3: Cross multiply
    10,878.35x = 16,319.57 × 3,480.82
  4. Step 4: Simplify right side
    10,878.35x = 56,805,485.65
  5. Step 5: Solve for x
    x = 56,805,485.65/10,878.35
  6. Step 6: Final answer
    x = 5,221.88

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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.