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Finding the Fourth Proportional to 11,200.68, 16,786.32 and 4,623.24

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Solution

The fourth proportional to 11,200.68, 16,786.32 and 4,623.24 is: 6,928.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,200.68 : 16,786.32 = 4,623.24 : x
  2. Step 2: Convert to fraction form
    11,200.68/16,786.32 = 4,623.24/x
  3. Step 3: Cross multiply
    11,200.68x = 16,786.32 × 4,623.24
  4. Step 4: Simplify right side
    11,200.68x = 77,607,186.08
  5. Step 5: Solve for x
    x = 77,607,186.08/11,200.68
  6. Step 6: Final answer
    x = 6,928.79

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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.