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Finding the Fourth Proportional to 10,418.66, 14,377.59 and 5,942.15

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Solution

The fourth proportional to 10,418.66, 14,377.59 and 5,942.15 is: 8,200.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,418.66 : 14,377.59 = 5,942.15 : x
  2. Step 2: Convert to fraction form
    10,418.66/14,377.59 = 5,942.15/x
  3. Step 3: Cross multiply
    10,418.66x = 14,377.59 × 5,942.15
  4. Step 4: Simplify right side
    10,418.66x = 85,433,749.87
  5. Step 5: Solve for x
    x = 85,433,749.87/10,418.66
  6. Step 6: Final answer
    x = 8,200.07

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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.