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Finding the Fourth Proportional to 7,340.42, 10,129.75 and 3,983.17

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Solution

The fourth proportional to 7,340.42, 10,129.75 and 3,983.17 is: 5,496.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,340.42 : 10,129.75 = 3,983.17 : x
  2. Step 2: Convert to fraction form
    7,340.42/10,129.75 = 3,983.17/x
  3. Step 3: Cross multiply
    7,340.42x = 10,129.75 × 3,983.17
  4. Step 4: Simplify right side
    7,340.42x = 40,348,516.31
  5. Step 5: Solve for x
    x = 40,348,516.31/7,340.42
  6. Step 6: Final answer
    x = 5,496.76

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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.