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Finding the Fourth Proportional to 8,027.57, 12,032.89 and 4,328.80

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Solution

The fourth proportional to 8,027.57, 12,032.89 and 4,328.80 is: 6,488.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,027.57 : 12,032.89 = 4,328.80 : x
  2. Step 2: Convert to fraction form
    8,027.57/12,032.89 = 4,328.80/x
  3. Step 3: Cross multiply
    8,027.57x = 12,032.89 × 4,328.80
  4. Step 4: Simplify right side
    8,027.57x = 52,087,933.33
  5. Step 5: Solve for x
    x = 52,087,933.33/8,027.57
  6. Step 6: Final answer
    x = 6,488.63

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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.