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Finding the Fourth Proportional to 11,101.78, 16,650.24 and 6,411.88

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Solution

The fourth proportional to 11,101.78, 16,650.24 and 6,411.88 is: 9,616.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,101.78 : 16,650.24 = 6,411.88 : x
  2. Step 2: Convert to fraction form
    11,101.78/16,650.24 = 6,411.88/x
  3. Step 3: Cross multiply
    11,101.78x = 16,650.24 × 6,411.88
  4. Step 4: Simplify right side
    11,101.78x = 106,759,340.85
  5. Step 5: Solve for x
    x = 106,759,340.85/11,101.78
  6. Step 6: Final answer
    x = 9,616.42

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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.