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Finding the Fourth Proportional to 8,220.87, 12,338.63 and 3,840.80

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Solution

The fourth proportional to 8,220.87, 12,338.63 and 3,840.80 is: 5,764.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,220.87 : 12,338.63 = 3,840.80 : x
  2. Step 2: Convert to fraction form
    8,220.87/12,338.63 = 3,840.80/x
  3. Step 3: Cross multiply
    8,220.87x = 12,338.63 × 3,840.80
  4. Step 4: Simplify right side
    8,220.87x = 47,390,210.10
  5. Step 5: Solve for x
    x = 47,390,210.10/8,220.87
  6. Step 6: Final answer
    x = 5,764.62

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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.