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Finding the Fourth Proportional to 8,027.01, 12,036.05 and 2,478.78

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Solution

The fourth proportional to 8,027.01, 12,036.05 and 2,478.78 is: 3,716.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,027.01 : 12,036.05 = 2,478.78 : x
  2. Step 2: Convert to fraction form
    8,027.01/12,036.05 = 2,478.78/x
  3. Step 3: Cross multiply
    8,027.01x = 12,036.05 × 2,478.78
  4. Step 4: Simplify right side
    8,027.01x = 29,834,707.63
  5. Step 5: Solve for x
    x = 29,834,707.63/8,027.01
  6. Step 6: Final answer
    x = 3,716.79

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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.