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Finding the Fourth Proportional to 8,356.50, 12,536.91 and 3,677.42

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Solution

The fourth proportional to 8,356.50, 12,536.91 and 3,677.42 is: 5,517.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.50 : 12,536.91 = 3,677.42 : x
  2. Step 2: Convert to fraction form
    8,356.50/12,536.91 = 3,677.42/x
  3. Step 3: Cross multiply
    8,356.50x = 12,536.91 × 3,677.42
  4. Step 4: Simplify right side
    8,356.50x = 46,103,514.91
  5. Step 5: Solve for x
    x = 46,103,514.91/8,356.50
  6. Step 6: Final answer
    x = 5,517.08

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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.