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Finding the Fourth Proportional to 11,806.92, 16,284.46 and 7,333.32

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Solution

The fourth proportional to 11,806.92, 16,284.46 and 7,333.32 is: 10,114.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.92 : 16,284.46 = 7,333.32 : x
  2. Step 2: Convert to fraction form
    11,806.92/16,284.46 = 7,333.32/x
  3. Step 3: Cross multiply
    11,806.92x = 16,284.46 × 7,333.32
  4. Step 4: Simplify right side
    11,806.92x = 119,419,156.21
  5. Step 5: Solve for x
    x = 119,419,156.21/11,806.92
  6. Step 6: Final answer
    x = 10,114.34

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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.