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Finding the Fourth Proportional to 17,910.75, 26,864.02 and 4,764.14

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Solution

The fourth proportional to 17,910.75, 26,864.02 and 4,764.14 is: 7,145.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,910.75 : 26,864.02 = 4,764.14 : x
  2. Step 2: Convert to fraction form
    17,910.75/26,864.02 = 4,764.14/x
  3. Step 3: Cross multiply
    17,910.75x = 26,864.02 × 4,764.14
  4. Step 4: Simplify right side
    17,910.75x = 127,983,952.24
  5. Step 5: Solve for x
    x = 127,983,952.24/17,910.75
  6. Step 6: Final answer
    x = 7,145.65

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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.