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Finding the Fourth Proportional to 8,201.69, 11,315.27 and 4,662.17

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Solution

The fourth proportional to 8,201.69, 11,315.27 and 4,662.17 is: 6,432.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.69 : 11,315.27 = 4,662.17 : x
  2. Step 2: Convert to fraction form
    8,201.69/11,315.27 = 4,662.17/x
  3. Step 3: Cross multiply
    8,201.69x = 11,315.27 × 4,662.17
  4. Step 4: Simplify right side
    8,201.69x = 52,753,667.41
  5. Step 5: Solve for x
    x = 52,753,667.41/8,201.69
  6. Step 6: Final answer
    x = 6,432.05

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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.