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Finding the Fourth Proportional to 10,418.27, 14,377.07 and 5,942.10

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Solution

The fourth proportional to 10,418.27, 14,377.07 and 5,942.10 is: 8,200.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,418.27 : 14,377.07 = 5,942.10 : x
  2. Step 2: Convert to fraction form
    10,418.27/14,377.07 = 5,942.10/x
  3. Step 3: Cross multiply
    10,418.27x = 14,377.07 × 5,942.10
  4. Step 4: Simplify right side
    10,418.27x = 85,429,953.78
  5. Step 5: Solve for x
    x = 85,429,953.78/10,418.27
  6. Step 6: Final answer
    x = 8,200.01

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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.