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Finding the Fourth Proportional to 8,254.87, 11,391.80 and 4,478.02

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Solution

The fourth proportional to 8,254.87, 11,391.80 and 4,478.02 is: 6,179.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254.87 : 11,391.80 = 4,478.02 : x
  2. Step 2: Convert to fraction form
    8,254.87/11,391.80 = 4,478.02/x
  3. Step 3: Cross multiply
    8,254.87x = 11,391.80 × 4,478.02
  4. Step 4: Simplify right side
    8,254.87x = 51,012,708.24
  5. Step 5: Solve for x
    x = 51,012,708.24/8,254.87
  6. Step 6: Final answer
    x = 6,179.71

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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.