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Finding the Fourth Proportional to 8,196.26, 11,315.50 and 5,409.86

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Solution

The fourth proportional to 8,196.26, 11,315.50 and 5,409.86 is: 7,468.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.26 : 11,315.50 = 5,409.86 : x
  2. Step 2: Convert to fraction form
    8,196.26/11,315.50 = 5,409.86/x
  3. Step 3: Cross multiply
    8,196.26x = 11,315.50 × 5,409.86
  4. Step 4: Simplify right side
    8,196.26x = 61,215,200.73
  5. Step 5: Solve for x
    x = 61,215,200.73/8,196.26
  6. Step 6: Final answer
    x = 7,468.68

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