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Finding the Fourth Proportional to 8,162.80, 11,264.56 and 4,436.80

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Solution

The fourth proportional to 8,162.80, 11,264.56 and 4,436.80 is: 6,122.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.80 : 11,264.56 = 4,436.80 : x
  2. Step 2: Convert to fraction form
    8,162.80/11,264.56 = 4,436.80/x
  3. Step 3: Cross multiply
    8,162.80x = 11,264.56 × 4,436.80
  4. Step 4: Simplify right side
    8,162.80x = 49,978,599.81
  5. Step 5: Solve for x
    x = 49,978,599.81/8,162.80
  6. Step 6: Final answer
    x = 6,122.73

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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.