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Finding the Fourth Proportional to 11,695.86, 17,500.05 and 6,767.82

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Solution

The fourth proportional to 11,695.86, 17,500.05 and 6,767.82 is: 10,126.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,695.86 : 17,500.05 = 6,767.82 : x
  2. Step 2: Convert to fraction form
    11,695.86/17,500.05 = 6,767.82/x
  3. Step 3: Cross multiply
    11,695.86x = 17,500.05 × 6,767.82
  4. Step 4: Simplify right side
    11,695.86x = 118,437,188.39
  5. Step 5: Solve for x
    x = 118,437,188.39/11,695.86
  6. Step 6: Final answer
    x = 10,126.42

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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.