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Finding the Fourth Proportional to 11,204, 16,808.76 and 4,632.08

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Solution

The fourth proportional to 11,204, 16,808.76 and 4,632.08 is: 6,949.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,204 : 16,808.76 = 4,632.08 : x
  2. Step 2: Convert to fraction form
    11,204/16,808.76 = 4,632.08/x
  3. Step 3: Cross multiply
    11,204x = 16,808.76 × 4,632.08
  4. Step 4: Simplify right side
    11,204x = 77,859,521.02
  5. Step 5: Solve for x
    x = 77,859,521.02/11,204
  6. Step 6: Final answer
    x = 6,949.26

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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.