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Finding the Fourth Proportional to 8,018.76, 12,027.87 and 2,824.50

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Solution

The fourth proportional to 8,018.76, 12,027.87 and 2,824.50 is: 4,236.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,018.76 : 12,027.87 = 2,824.50 : x
  2. Step 2: Convert to fraction form
    8,018.76/12,027.87 = 2,824.50/x
  3. Step 3: Cross multiply
    8,018.76x = 12,027.87 × 2,824.50
  4. Step 4: Simplify right side
    8,018.76x = 33,972,718.82
  5. Step 5: Solve for x
    x = 33,972,718.82/8,018.76
  6. Step 6: Final answer
    x = 4,236.65

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Why These Related Problems?

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