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Finding the Fourth Proportional to 8,282.36, 11,428.97 and 4,878.83

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Solution

The fourth proportional to 8,282.36, 11,428.97 and 4,878.83 is: 6,732.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.36 : 11,428.97 = 4,878.83 : x
  2. Step 2: Convert to fraction form
    8,282.36/11,428.97 = 4,878.83/x
  3. Step 3: Cross multiply
    8,282.36x = 11,428.97 × 4,878.83
  4. Step 4: Simplify right side
    8,282.36x = 55,759,977.31
  5. Step 5: Solve for x
    x = 55,759,977.31/8,282.36
  6. Step 6: Final answer
    x = 6,732.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.