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Finding the Fourth Proportional to 8,272.72, 12,412.32 and 3,079

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Solution

The fourth proportional to 8,272.72, 12,412.32 and 3,079 is: 4,619.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.72 : 12,412.32 = 3,079 : x
  2. Step 2: Convert to fraction form
    8,272.72/12,412.32 = 3,079/x
  3. Step 3: Cross multiply
    8,272.72x = 12,412.32 × 3,079
  4. Step 4: Simplify right side
    8,272.72x = 38,217,533.28
  5. Step 5: Solve for x
    x = 38,217,533.28/8,272.72
  6. Step 6: Final answer
    x = 4,619.71

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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.