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Finding the Fourth Proportional to 8,536.77, 12,806.78 and 2,695.05

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Solution

The fourth proportional to 8,536.77, 12,806.78 and 2,695.05 is: 4,043.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536.77 : 12,806.78 = 2,695.05 : x
  2. Step 2: Convert to fraction form
    8,536.77/12,806.78 = 2,695.05/x
  3. Step 3: Cross multiply
    8,536.77x = 12,806.78 × 2,695.05
  4. Step 4: Simplify right side
    8,536.77x = 34,514,898.96
  5. Step 5: Solve for x
    x = 34,514,898.96/8,536.77
  6. Step 6: Final answer
    x = 4,043.09

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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.