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Finding the Fourth Proportional to 7,878.51, 11,819.38 and 5,414.49

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Solution

The fourth proportional to 7,878.51, 11,819.38 and 5,414.49 is: 8,122.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.51 : 11,819.38 = 5,414.49 : x
  2. Step 2: Convert to fraction form
    7,878.51/11,819.38 = 5,414.49/x
  3. Step 3: Cross multiply
    7,878.51x = 11,819.38 × 5,414.49
  4. Step 4: Simplify right side
    7,878.51x = 63,995,914.82
  5. Step 5: Solve for x
    x = 63,995,914.82/7,878.51
  6. Step 6: Final answer
    x = 8,122.84

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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.