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Finding the Fourth Proportional to 8,020.84, 12,022.62 and 5,238.76

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Solution

The fourth proportional to 8,020.84, 12,022.62 and 5,238.76 is: 7,852.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,020.84 : 12,022.62 = 5,238.76 : x
  2. Step 2: Convert to fraction form
    8,020.84/12,022.62 = 5,238.76/x
  3. Step 3: Cross multiply
    8,020.84x = 12,022.62 × 5,238.76
  4. Step 4: Simplify right side
    8,020.84x = 62,983,620.75
  5. Step 5: Solve for x
    x = 62,983,620.75/8,020.84
  6. Step 6: Final answer
    x = 7,852.50

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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.