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Finding the Fourth Proportional to 8,499.86, 12,736.74 and 3,566.78

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Solution

The fourth proportional to 8,499.86, 12,736.74 and 3,566.78 is: 5,344.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,499.86 : 12,736.74 = 3,566.78 : x
  2. Step 2: Convert to fraction form
    8,499.86/12,736.74 = 3,566.78/x
  3. Step 3: Cross multiply
    8,499.86x = 12,736.74 × 3,566.78
  4. Step 4: Simplify right side
    8,499.86x = 45,429,149.50
  5. Step 5: Solve for x
    x = 45,429,149.50/8,499.86
  6. Step 6: Final answer
    x = 5,344.69

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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.