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Finding the Fourth Proportional to 10,418.78, 14,378.01 and 5,942.76

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Solution

The fourth proportional to 10,418.78, 14,378.01 and 5,942.76 is: 8,201.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,418.78 : 14,378.01 = 5,942.76 : x
  2. Step 2: Convert to fraction form
    10,418.78/14,378.01 = 5,942.76/x
  3. Step 3: Cross multiply
    10,418.78x = 14,378.01 × 5,942.76
  4. Step 4: Simplify right side
    10,418.78x = 85,444,997.05
  5. Step 5: Solve for x
    x = 85,444,997.05/10,418.78
  6. Step 6: Final answer
    x = 8,201.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.