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Finding the Fourth Proportional to 10,819.78, 16,218.02 and 5,261.49

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Solution

The fourth proportional to 10,819.78, 16,218.02 and 5,261.49 is: 7,886.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,819.78 : 16,218.02 = 5,261.49 : x
  2. Step 2: Convert to fraction form
    10,819.78/16,218.02 = 5,261.49/x
  3. Step 3: Cross multiply
    10,819.78x = 16,218.02 × 5,261.49
  4. Step 4: Simplify right side
    10,819.78x = 85,330,963.20
  5. Step 5: Solve for x
    x = 85,330,963.20/10,819.78
  6. Step 6: Final answer
    x = 7,886.57

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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.