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Finding the Fourth Proportional to 8,233.50, 12,338.10 and 5,309.40

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Solution

The fourth proportional to 8,233.50, 12,338.10 and 5,309.40 is: 7,956.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.50 : 12,338.10 = 5,309.40 : x
  2. Step 2: Convert to fraction form
    8,233.50/12,338.10 = 5,309.40/x
  3. Step 3: Cross multiply
    8,233.50x = 12,338.10 × 5,309.40
  4. Step 4: Simplify right side
    8,233.50x = 65,507,908.14
  5. Step 5: Solve for x
    x = 65,507,908.14/8,233.50
  6. Step 6: Final answer
    x = 7,956.27

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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.