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Finding the Fourth Proportional to 8,027.20, 12,042.47 and 2,762.00

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Solution

The fourth proportional to 8,027.20, 12,042.47 and 2,762.00 is: 4,143.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,027.20 : 12,042.47 = 2,762.00 : x
  2. Step 2: Convert to fraction form
    8,027.20/12,042.47 = 2,762.00/x
  3. Step 3: Cross multiply
    8,027.20x = 12,042.47 × 2,762.00
  4. Step 4: Simplify right side
    8,027.20x = 33,261,293.99
  5. Step 5: Solve for x
    x = 33,261,293.99/8,027.20
  6. Step 6: Final answer
    x = 4,143.57

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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.