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Finding the Fourth Proportional to 8,095.86, 11,170.26 and 6,209.37

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Solution

The fourth proportional to 8,095.86, 11,170.26 and 6,209.37 is: 8,567.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,095.86 : 11,170.26 = 6,209.37 : x
  2. Step 2: Convert to fraction form
    8,095.86/11,170.26 = 6,209.37/x
  3. Step 3: Cross multiply
    8,095.86x = 11,170.26 × 6,209.37
  4. Step 4: Simplify right side
    8,095.86x = 69,360,277.34
  5. Step 5: Solve for x
    x = 69,360,277.34/8,095.86
  6. Step 6: Final answer
    x = 8,567.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.