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Finding the Fourth Proportional to 11,696.92, 17,547.24 and 4,676.92

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Solution

The fourth proportional to 11,696.92, 17,547.24 and 4,676.92 is: 7,016.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.92 : 17,547.24 = 4,676.92 : x
  2. Step 2: Convert to fraction form
    11,696.92/17,547.24 = 4,676.92/x
  3. Step 3: Cross multiply
    11,696.92x = 17,547.24 × 4,676.92
  4. Step 4: Simplify right side
    11,696.92x = 82,067,037.70
  5. Step 5: Solve for x
    x = 82,067,037.70/11,696.92
  6. Step 6: Final answer
    x = 7,016.12

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Why These Related Problems?

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