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Finding the Fourth Proportional to 11,610.40, 16,016.70 and 6,891.34

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Solution

The fourth proportional to 11,610.40, 16,016.70 and 6,891.34 is: 9,506.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,610.40 : 16,016.70 = 6,891.34 : x
  2. Step 2: Convert to fraction form
    11,610.40/16,016.70 = 6,891.34/x
  3. Step 3: Cross multiply
    11,610.40x = 16,016.70 × 6,891.34
  4. Step 4: Simplify right side
    11,610.40x = 110,376,525.38
  5. Step 5: Solve for x
    x = 110,376,525.38/11,610.40
  6. Step 6: Final answer
    x = 9,506.69

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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.