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Finding the Fourth Proportional to 8,027.69, 12,038.53 and 2,761.20

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Solution

The fourth proportional to 8,027.69, 12,038.53 and 2,761.20 is: 4,140.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,027.69 : 12,038.53 = 2,761.20 : x
  2. Step 2: Convert to fraction form
    8,027.69/12,038.53 = 2,761.20/x
  3. Step 3: Cross multiply
    8,027.69x = 12,038.53 × 2,761.20
  4. Step 4: Simplify right side
    8,027.69x = 33,240,827.28
  5. Step 5: Solve for x
    x = 33,240,827.28/8,027.69
  6. Step 6: Final answer
    x = 4,140.77

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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.