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Finding the Fourth Proportional to 11,697.99, 16,143.66 and 6,393.12

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Solution

The fourth proportional to 11,697.99, 16,143.66 and 6,393.12 is: 8,822.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.99 : 16,143.66 = 6,393.12 : x
  2. Step 2: Convert to fraction form
    11,697.99/16,143.66 = 6,393.12/x
  3. Step 3: Cross multiply
    11,697.99x = 16,143.66 × 6,393.12
  4. Step 4: Simplify right side
    11,697.99x = 103,208,355.62
  5. Step 5: Solve for x
    x = 103,208,355.62/11,697.99
  6. Step 6: Final answer
    x = 8,822.74

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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.