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Finding the Fourth Proportional to 11,107.68, 16,662.16 and 4,182.24

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Solution

The fourth proportional to 11,107.68, 16,662.16 and 4,182.24 is: 6,273.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,107.68 : 16,662.16 = 4,182.24 : x
  2. Step 2: Convert to fraction form
    11,107.68/16,662.16 = 4,182.24/x
  3. Step 3: Cross multiply
    11,107.68x = 16,662.16 × 4,182.24
  4. Step 4: Simplify right side
    11,107.68x = 69,685,152.04
  5. Step 5: Solve for x
    x = 69,685,152.04/11,107.68
  6. Step 6: Final answer
    x = 6,273.60

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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.