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Finding the Fourth Proportional to 8,223.68, 12,328.60 and 3,290.63

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Solution

The fourth proportional to 8,223.68, 12,328.60 and 3,290.63 is: 4,933.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.68 : 12,328.60 = 3,290.63 : x
  2. Step 2: Convert to fraction form
    8,223.68/12,328.60 = 3,290.63/x
  3. Step 3: Cross multiply
    8,223.68x = 12,328.60 × 3,290.63
  4. Step 4: Simplify right side
    8,223.68x = 40,568,788.06
  5. Step 5: Solve for x
    x = 40,568,788.06/8,223.68
  6. Step 6: Final answer
    x = 4,933.17

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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.