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Finding the Fourth Proportional to 11,747.99, 16,212.21 and 6,442.81

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Solution

The fourth proportional to 11,747.99, 16,212.21 and 6,442.81 is: 8,891.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,747.99 : 16,212.21 = 6,442.81 : x
  2. Step 2: Convert to fraction form
    11,747.99/16,212.21 = 6,442.81/x
  3. Step 3: Cross multiply
    11,747.99x = 16,212.21 × 6,442.81
  4. Step 4: Simplify right side
    11,747.99x = 104,452,188.71
  5. Step 5: Solve for x
    x = 104,452,188.71/11,747.99
  6. Step 6: Final answer
    x = 8,891.07

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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.