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Finding the Fourth Proportional to 11,911.68, 16,440.44 and 6,875.78

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Solution

The fourth proportional to 11,911.68, 16,440.44 and 6,875.78 is: 9,489.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,911.68 : 16,440.44 = 6,875.78 : x
  2. Step 2: Convert to fraction form
    11,911.68/16,440.44 = 6,875.78/x
  3. Step 3: Cross multiply
    11,911.68x = 16,440.44 × 6,875.78
  4. Step 4: Simplify right side
    11,911.68x = 113,040,731.96
  5. Step 5: Solve for x
    x = 113,040,731.96/11,911.68
  6. Step 6: Final answer
    x = 9,489.91

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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.