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Finding the Fourth Proportional to 8,227.91, 11,354.51 and 4,643.63

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Solution

The fourth proportional to 8,227.91, 11,354.51 and 4,643.63 is: 6,408.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.91 : 11,354.51 = 4,643.63 : x
  2. Step 2: Convert to fraction form
    8,227.91/11,354.51 = 4,643.63/x
  3. Step 3: Cross multiply
    8,227.91x = 11,354.51 × 4,643.63
  4. Step 4: Simplify right side
    8,227.91x = 52,726,098.11
  5. Step 5: Solve for x
    x = 52,726,098.11/8,227.91
  6. Step 6: Final answer
    x = 6,408.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.