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Finding the Fourth Proportional to 11,711.96, 16,162.83 and 6,407.11

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Solution

The fourth proportional to 11,711.96, 16,162.83 and 6,407.11 is: 8,841.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,711.96 : 16,162.83 = 6,407.11 : x
  2. Step 2: Convert to fraction form
    11,711.96/16,162.83 = 6,407.11/x
  3. Step 3: Cross multiply
    11,711.96x = 16,162.83 × 6,407.11
  4. Step 4: Simplify right side
    11,711.96x = 103,556,989.31
  5. Step 5: Solve for x
    x = 103,556,989.31/11,711.96
  6. Step 6: Final answer
    x = 8,841.99

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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.