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Finding the Fourth Proportional to 7,382.67, 10,188.25 and 4,195.46

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Solution

The fourth proportional to 7,382.67, 10,188.25 and 4,195.46 is: 5,789.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382.67 : 10,188.25 = 4,195.46 : x
  2. Step 2: Convert to fraction form
    7,382.67/10,188.25 = 4,195.46/x
  3. Step 3: Cross multiply
    7,382.67x = 10,188.25 × 4,195.46
  4. Step 4: Simplify right side
    7,382.67x = 42,744,381.67
  5. Step 5: Solve for x
    x = 42,744,381.67/7,382.67
  6. Step 6: Final answer
    x = 5,789.83

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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.