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Finding the Fourth Proportional to 10,906.12, 16,358.94 and 2,698.12

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Solution

The fourth proportional to 10,906.12, 16,358.94 and 2,698.12 is: 4,047.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.12 : 16,358.94 = 2,698.12 : x
  2. Step 2: Convert to fraction form
    10,906.12/16,358.94 = 2,698.12/x
  3. Step 3: Cross multiply
    10,906.12x = 16,358.94 × 2,698.12
  4. Step 4: Simplify right side
    10,906.12x = 44,138,383.19
  5. Step 5: Solve for x
    x = 44,138,383.19/10,906.12
  6. Step 6: Final answer
    x = 4,047.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.