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Finding the Fourth Proportional to 11,206.20, 16,808.04 and 6,822.48

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Solution

The fourth proportional to 11,206.20, 16,808.04 and 6,822.48 is: 10,232.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,206.20 : 16,808.04 = 6,822.48 : x
  2. Step 2: Convert to fraction form
    11,206.20/16,808.04 = 6,822.48/x
  3. Step 3: Cross multiply
    11,206.20x = 16,808.04 × 6,822.48
  4. Step 4: Simplify right side
    11,206.20x = 114,672,516.74
  5. Step 5: Solve for x
    x = 114,672,516.74/11,206.20
  6. Step 6: Final answer
    x = 10,232.95

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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.