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Finding the Fourth Proportional to 8,682, 13,023.36 and 2,526

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Solution

The fourth proportional to 8,682, 13,023.36 and 2,526 is: 3,789.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,682 : 13,023.36 = 2,526 : x
  2. Step 2: Convert to fraction form
    8,682/13,023.36 = 2,526/x
  3. Step 3: Cross multiply
    8,682x = 13,023.36 × 2,526
  4. Step 4: Simplify right side
    8,682x = 32,897,007.36
  5. Step 5: Solve for x
    x = 32,897,007.36/8,682
  6. Step 6: Final answer
    x = 3,789.10

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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.