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Finding the Fourth Proportional to 10,418.77, 14,377.76 and 5,942.60

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Solution

The fourth proportional to 10,418.77, 14,377.76 and 5,942.60 is: 8,200.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,418.77 : 14,377.76 = 5,942.60 : x
  2. Step 2: Convert to fraction form
    10,418.77/14,377.76 = 5,942.60/x
  3. Step 3: Cross multiply
    10,418.77x = 14,377.76 × 5,942.60
  4. Step 4: Simplify right side
    10,418.77x = 85,441,276.58
  5. Step 5: Solve for x
    x = 85,441,276.58/10,418.77
  6. Step 6: Final answer
    x = 8,200.71

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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.