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Finding the Fourth Proportional to 12,266.28, 16,910.46 and 8,281.08

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Solution

The fourth proportional to 12,266.28, 16,910.46 and 8,281.08 is: 11,416.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,266.28 : 16,910.46 = 8,281.08 : x
  2. Step 2: Convert to fraction form
    12,266.28/16,910.46 = 8,281.08/x
  3. Step 3: Cross multiply
    12,266.28x = 16,910.46 × 8,281.08
  4. Step 4: Simplify right side
    12,266.28x = 140,036,872.10
  5. Step 5: Solve for x
    x = 140,036,872.10/12,266.28
  6. Step 6: Final answer
    x = 11,416.41

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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.