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Finding the Fourth Proportional to 11,699.14, 16,144.77 and 6,393.95

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Solution

The fourth proportional to 11,699.14, 16,144.77 and 6,393.95 is: 8,823.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,699.14 : 16,144.77 = 6,393.95 : x
  2. Step 2: Convert to fraction form
    11,699.14/16,144.77 = 6,393.95/x
  3. Step 3: Cross multiply
    11,699.14x = 16,144.77 × 6,393.95
  4. Step 4: Simplify right side
    11,699.14x = 103,228,892.50
  5. Step 5: Solve for x
    x = 103,228,892.50/11,699.14
  6. Step 6: Final answer
    x = 8,823.63

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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.