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Finding the Fourth Proportional to 8,026.16, 12,039.85 and 2,182.69

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Solution

The fourth proportional to 8,026.16, 12,039.85 and 2,182.69 is: 3,274.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,026.16 : 12,039.85 = 2,182.69 : x
  2. Step 2: Convert to fraction form
    8,026.16/12,039.85 = 2,182.69/x
  3. Step 3: Cross multiply
    8,026.16x = 12,039.85 × 2,182.69
  4. Step 4: Simplify right side
    8,026.16x = 26,279,260.20
  5. Step 5: Solve for x
    x = 26,279,260.20/8,026.16
  6. Step 6: Final answer
    x = 3,274.20

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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.