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Finding the Fourth Proportional to 7,232.31, 9,980.37 and 5,105.61

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Solution

The fourth proportional to 7,232.31, 9,980.37 and 5,105.61 is: 7,045.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.31 : 9,980.37 = 5,105.61 : x
  2. Step 2: Convert to fraction form
    7,232.31/9,980.37 = 5,105.61/x
  3. Step 3: Cross multiply
    7,232.31x = 9,980.37 × 5,105.61
  4. Step 4: Simplify right side
    7,232.31x = 50,955,876.88
  5. Step 5: Solve for x
    x = 50,955,876.88/7,232.31
  6. Step 6: Final answer
    x = 7,045.59

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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.