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Finding the Fourth Proportional to 7,223.98, 10,837.34 and 2,292.30

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Solution

The fourth proportional to 7,223.98, 10,837.34 and 2,292.30 is: 3,438.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,223.98 : 10,837.34 = 2,292.30 : x
  2. Step 2: Convert to fraction form
    7,223.98/10,837.34 = 2,292.30/x
  3. Step 3: Cross multiply
    7,223.98x = 10,837.34 × 2,292.30
  4. Step 4: Simplify right side
    7,223.98x = 24,842,434.48
  5. Step 5: Solve for x
    x = 24,842,434.48/7,223.98
  6. Step 6: Final answer
    x = 3,438.88

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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.