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Finding the Fourth Proportional to 11,204.44, 16,806.65 and 4,185

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Solution

The fourth proportional to 11,204.44, 16,806.65 and 4,185 is: 6,277.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,204.44 : 16,806.65 = 4,185 : x
  2. Step 2: Convert to fraction form
    11,204.44/16,806.65 = 4,185/x
  3. Step 3: Cross multiply
    11,204.44x = 16,806.65 × 4,185
  4. Step 4: Simplify right side
    11,204.44x = 70,335,809.33
  5. Step 5: Solve for x
    x = 70,335,809.33/11,204.44
  6. Step 6: Final answer
    x = 6,277.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.