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Finding the Fourth Proportional to 7,341.76, 10,131.60 and 4,198

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Solution

The fourth proportional to 7,341.76, 10,131.60 and 4,198 is: 5,793.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,341.76 : 10,131.60 = 4,198 : x
  2. Step 2: Convert to fraction form
    7,341.76/10,131.60 = 4,198/x
  3. Step 3: Cross multiply
    7,341.76x = 10,131.60 × 4,198
  4. Step 4: Simplify right side
    7,341.76x = 42,532,456.80
  5. Step 5: Solve for x
    x = 42,532,456.80/7,341.76
  6. Step 6: Final answer
    x = 5,793.22

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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.