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Finding the Fourth Proportional to 7,145.50, 10,722.66 and 3,816.25

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Solution

The fourth proportional to 7,145.50, 10,722.66 and 3,816.25 is: 5,726.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.50 : 10,722.66 = 3,816.25 : x
  2. Step 2: Convert to fraction form
    7,145.50/10,722.66 = 3,816.25/x
  3. Step 3: Cross multiply
    7,145.50x = 10,722.66 × 3,816.25
  4. Step 4: Simplify right side
    7,145.50x = 40,920,351.23
  5. Step 5: Solve for x
    x = 40,920,351.23/7,145.50
  6. Step 6: Final answer
    x = 5,726.73

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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.