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Finding the Fourth Proportional to 10,774.44, 16,165.80 and 4,205.28

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Solution

The fourth proportional to 10,774.44, 16,165.80 and 4,205.28 is: 6,309.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.44 : 16,165.80 = 4,205.28 : x
  2. Step 2: Convert to fraction form
    10,774.44/16,165.80 = 4,205.28/x
  3. Step 3: Cross multiply
    10,774.44x = 16,165.80 × 4,205.28
  4. Step 4: Simplify right side
    10,774.44x = 67,981,715.42
  5. Step 5: Solve for x
    x = 67,981,715.42/10,774.44
  6. Step 6: Final answer
    x = 6,309.54

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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.