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Finding the Fourth Proportional to 8,102.86, 11,191.26 and 5,409.39

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Solution

The fourth proportional to 8,102.86, 11,191.26 and 5,409.39 is: 7,471.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.86 : 11,191.26 = 5,409.39 : x
  2. Step 2: Convert to fraction form
    8,102.86/11,191.26 = 5,409.39/x
  3. Step 3: Cross multiply
    8,102.86x = 11,191.26 × 5,409.39
  4. Step 4: Simplify right side
    8,102.86x = 60,537,889.93
  5. Step 5: Solve for x
    x = 60,537,889.93/8,102.86
  6. Step 6: Final answer
    x = 7,471.18

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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.