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Finding the Fourth Proportional to 7,231.42, 10,843.29 and 3,332.50

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Solution

The fourth proportional to 7,231.42, 10,843.29 and 3,332.50 is: 4,996.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.42 : 10,843.29 = 3,332.50 : x
  2. Step 2: Convert to fraction form
    7,231.42/10,843.29 = 3,332.50/x
  3. Step 3: Cross multiply
    7,231.42x = 10,843.29 × 3,332.50
  4. Step 4: Simplify right side
    7,231.42x = 36,135,263.93
  5. Step 5: Solve for x
    x = 36,135,263.93/7,231.42
  6. Step 6: Final answer
    x = 4,996.98

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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.