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Finding the Fourth Proportional to 8,218.16, 12,328.44 and 3,022.80

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Solution

The fourth proportional to 8,218.16, 12,328.44 and 3,022.80 is: 4,534.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,218.16 : 12,328.44 = 3,022.80 : x
  2. Step 2: Convert to fraction form
    8,218.16/12,328.44 = 3,022.80/x
  3. Step 3: Cross multiply
    8,218.16x = 12,328.44 × 3,022.80
  4. Step 4: Simplify right side
    8,218.16x = 37,266,408.43
  5. Step 5: Solve for x
    x = 37,266,408.43/8,218.16
  6. Step 6: Final answer
    x = 4,534.64

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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.