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Finding the Fourth Proportional to 11,367.66, 15,682.32 and 6,649.86

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Solution

The fourth proportional to 11,367.66, 15,682.32 and 6,649.86 is: 9,173.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,367.66 : 15,682.32 = 6,649.86 : x
  2. Step 2: Convert to fraction form
    11,367.66/15,682.32 = 6,649.86/x
  3. Step 3: Cross multiply
    11,367.66x = 15,682.32 × 6,649.86
  4. Step 4: Simplify right side
    11,367.66x = 104,285,232.48
  5. Step 5: Solve for x
    x = 104,285,232.48/11,367.66
  6. Step 6: Final answer
    x = 9,173.85

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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.