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Finding the Fourth Proportional to 7,340.31, 10,129.59 and 3,983.22

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Solution

The fourth proportional to 7,340.31, 10,129.59 and 3,983.22 is: 5,496.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,340.31 : 10,129.59 = 3,983.22 : x
  2. Step 2: Convert to fraction form
    7,340.31/10,129.59 = 3,983.22/x
  3. Step 3: Cross multiply
    7,340.31x = 10,129.59 × 3,983.22
  4. Step 4: Simplify right side
    7,340.31x = 40,348,385.48
  5. Step 5: Solve for x
    x = 40,348,385.48/7,340.31
  6. Step 6: Final answer
    x = 5,496.82

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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.