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Finding the Fourth Proportional to 8,282.58, 11,441.43 and 6,601.78

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Solution

The fourth proportional to 8,282.58, 11,441.43 and 6,601.78 is: 9,119.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.58 : 11,441.43 = 6,601.78 : x
  2. Step 2: Convert to fraction form
    8,282.58/11,441.43 = 6,601.78/x
  3. Step 3: Cross multiply
    8,282.58x = 11,441.43 × 6,601.78
  4. Step 4: Simplify right side
    8,282.58x = 75,533,767.30
  5. Step 5: Solve for x
    x = 75,533,767.30/8,282.58
  6. Step 6: Final answer
    x = 9,119.60

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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.