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Finding the Fourth Proportional to 8,214.72, 12,324.24 and 2,950.26

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Solution

The fourth proportional to 8,214.72, 12,324.24 and 2,950.26 is: 4,426.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.72 : 12,324.24 = 2,950.26 : x
  2. Step 2: Convert to fraction form
    8,214.72/12,324.24 = 2,950.26/x
  3. Step 3: Cross multiply
    8,214.72x = 12,324.24 × 2,950.26
  4. Step 4: Simplify right side
    8,214.72x = 36,359,712.30
  5. Step 5: Solve for x
    x = 36,359,712.30/8,214.72
  6. Step 6: Final answer
    x = 4,426.17

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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.