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Finding the Fourth Proportional to 8,218.34, 12,332.97 and 3,024.21

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Solution

The fourth proportional to 8,218.34, 12,332.97 and 3,024.21 is: 4,538.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,218.34 : 12,332.97 = 3,024.21 : x
  2. Step 2: Convert to fraction form
    8,218.34/12,332.97 = 3,024.21/x
  3. Step 3: Cross multiply
    8,218.34x = 12,332.97 × 3,024.21
  4. Step 4: Simplify right side
    8,218.34x = 37,297,491.20
  5. Step 5: Solve for x
    x = 37,297,491.20/8,218.34
  6. Step 6: Final answer
    x = 4,538.32

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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.