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Finding the Fourth Proportional to 8,682.63, 13,026.12 and 2,526.63

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Solution

The fourth proportional to 8,682.63, 13,026.12 and 2,526.63 is: 3,790.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,682.63 : 13,026.12 = 2,526.63 : x
  2. Step 2: Convert to fraction form
    8,682.63/13,026.12 = 2,526.63/x
  3. Step 3: Cross multiply
    8,682.63x = 13,026.12 × 2,526.63
  4. Step 4: Simplify right side
    8,682.63x = 32,912,185.58
  5. Step 5: Solve for x
    x = 32,912,185.58/8,682.63
  6. Step 6: Final answer
    x = 3,790.58

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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.