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Finding the Fourth Proportional to 11,970.16, 16,516.07 and 6,863.31

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Solution

The fourth proportional to 11,970.16, 16,516.07 and 6,863.31 is: 9,469.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.16 : 16,516.07 = 6,863.31 : x
  2. Step 2: Convert to fraction form
    11,970.16/16,516.07 = 6,863.31/x
  3. Step 3: Cross multiply
    11,970.16x = 16,516.07 × 6,863.31
  4. Step 4: Simplify right side
    11,970.16x = 113,354,961.75
  5. Step 5: Solve for x
    x = 113,354,961.75/11,970.16
  6. Step 6: Final answer
    x = 9,469.79

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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.