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Finding the Fourth Proportional to 8,217.72, 12,329.28 and 3,024

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Solution

The fourth proportional to 8,217.72, 12,329.28 and 3,024 is: 4,536.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,217.72 : 12,329.28 = 3,024 : x
  2. Step 2: Convert to fraction form
    8,217.72/12,329.28 = 3,024/x
  3. Step 3: Cross multiply
    8,217.72x = 12,329.28 × 3,024
  4. Step 4: Simplify right side
    8,217.72x = 37,283,742.72
  5. Step 5: Solve for x
    x = 37,283,742.72/8,217.72
  6. Step 6: Final answer
    x = 4,536.99

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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.