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Finding the Fourth Proportional to 8,231.70, 11,359.75 and 4,454.87

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Solution

The fourth proportional to 8,231.70, 11,359.75 and 4,454.87 is: 6,147.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.70 : 11,359.75 = 4,454.87 : x
  2. Step 2: Convert to fraction form
    8,231.70/11,359.75 = 4,454.87/x
  3. Step 3: Cross multiply
    8,231.70x = 11,359.75 × 4,454.87
  4. Step 4: Simplify right side
    8,231.70x = 50,606,152.68
  5. Step 5: Solve for x
    x = 50,606,152.68/8,231.70
  6. Step 6: Final answer
    x = 6,147.72

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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.