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Finding the Fourth Proportional to 8,262.91, 12,398.01 and 3,883.51

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Solution

The fourth proportional to 8,262.91, 12,398.01 and 3,883.51 is: 5,826.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262.91 : 12,398.01 = 3,883.51 : x
  2. Step 2: Convert to fraction form
    8,262.91/12,398.01 = 3,883.51/x
  3. Step 3: Cross multiply
    8,262.91x = 12,398.01 × 3,883.51
  4. Step 4: Simplify right side
    8,262.91x = 48,147,795.82
  5. Step 5: Solve for x
    x = 48,147,795.82/8,262.91
  6. Step 6: Final answer
    x = 5,826.98

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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.