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Finding the Fourth Proportional to 8,536.74, 12,781.50 and 4,367.77

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Solution

The fourth proportional to 8,536.74, 12,781.50 and 4,367.77 is: 6,539.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536.74 : 12,781.50 = 4,367.77 : x
  2. Step 2: Convert to fraction form
    8,536.74/12,781.50 = 4,367.77/x
  3. Step 3: Cross multiply
    8,536.74x = 12,781.50 × 4,367.77
  4. Step 4: Simplify right side
    8,536.74x = 55,826,675.82
  5. Step 5: Solve for x
    x = 55,826,675.82/8,536.74
  6. Step 6: Final answer
    x = 6,539.58

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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.