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Finding the Fourth Proportional to 8,027.70, 12,041.64 and 3,866.82

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Solution

The fourth proportional to 8,027.70, 12,041.64 and 3,866.82 is: 5,800.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,027.70 : 12,041.64 = 3,866.82 : x
  2. Step 2: Convert to fraction form
    8,027.70/12,041.64 = 3,866.82/x
  3. Step 3: Cross multiply
    8,027.70x = 12,041.64 × 3,866.82
  4. Step 4: Simplify right side
    8,027.70x = 46,562,854.38
  5. Step 5: Solve for x
    x = 46,562,854.38/8,027.70
  6. Step 6: Final answer
    x = 5,800.27

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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.