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Finding the Fourth Proportional to 8,642.81, 12,961.33 and 3,376.46

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Solution

The fourth proportional to 8,642.81, 12,961.33 and 3,376.46 is: 5,063.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.81 : 12,961.33 = 3,376.46 : x
  2. Step 2: Convert to fraction form
    8,642.81/12,961.33 = 3,376.46/x
  3. Step 3: Cross multiply
    8,642.81x = 12,961.33 × 3,376.46
  4. Step 4: Simplify right side
    8,642.81x = 43,763,339.04
  5. Step 5: Solve for x
    x = 43,763,339.04/8,642.81
  6. Step 6: Final answer
    x = 5,063.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.