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Finding the Fourth Proportional to 8,202.72, 12,300.39 and 2,357.97

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Solution

The fourth proportional to 8,202.72, 12,300.39 and 2,357.97 is: 3,535.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.72 : 12,300.39 = 2,357.97 : x
  2. Step 2: Convert to fraction form
    8,202.72/12,300.39 = 2,357.97/x
  3. Step 3: Cross multiply
    8,202.72x = 12,300.39 × 2,357.97
  4. Step 4: Simplify right side
    8,202.72x = 29,003,950.61
  5. Step 5: Solve for x
    x = 29,003,950.61/8,202.72
  6. Step 6: Final answer
    x = 3,535.89

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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.