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Finding the Fourth Proportional to 11,742.99, 16,205.22 and 6,437.70

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Solution

The fourth proportional to 11,742.99, 16,205.22 and 6,437.70 is: 8,883.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,742.99 : 16,205.22 = 6,437.70 : x
  2. Step 2: Convert to fraction form
    11,742.99/16,205.22 = 6,437.70/x
  3. Step 3: Cross multiply
    11,742.99x = 16,205.22 × 6,437.70
  4. Step 4: Simplify right side
    11,742.99x = 104,324,344.79
  5. Step 5: Solve for x
    x = 104,324,344.79/11,742.99
  6. Step 6: Final answer
    x = 8,883.97

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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.