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Finding the Fourth Proportional to 11,947.16, 16,485.93 and 6,910.38

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Solution

The fourth proportional to 11,947.16, 16,485.93 and 6,910.38 is: 9,535.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,947.16 : 16,485.93 = 6,910.38 : x
  2. Step 2: Convert to fraction form
    11,947.16/16,485.93 = 6,910.38/x
  3. Step 3: Cross multiply
    11,947.16x = 16,485.93 × 6,910.38
  4. Step 4: Simplify right side
    11,947.16x = 113,924,040.95
  5. Step 5: Solve for x
    x = 113,924,040.95/11,947.16
  6. Step 6: Final answer
    x = 9,535.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.