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Finding the Fourth Proportional to 8,276.32, 12,411.85 and 2,728.63

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Solution

The fourth proportional to 8,276.32, 12,411.85 and 2,728.63 is: 4,092.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,276.32 : 12,411.85 = 2,728.63 : x
  2. Step 2: Convert to fraction form
    8,276.32/12,411.85 = 2,728.63/x
  3. Step 3: Cross multiply
    8,276.32x = 12,411.85 × 2,728.63
  4. Step 4: Simplify right side
    8,276.32x = 33,867,332.62
  5. Step 5: Solve for x
    x = 33,867,332.62/8,276.32
  6. Step 6: Final answer
    x = 4,092.08

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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.