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Finding the Fourth Proportional to 11,691.90, 17,547.80 and 4,676.82

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Solution

The fourth proportional to 11,691.90, 17,547.80 and 4,676.82 is: 7,019.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,691.90 : 17,547.80 = 4,676.82 : x
  2. Step 2: Convert to fraction form
    11,691.90/17,547.80 = 4,676.82/x
  3. Step 3: Cross multiply
    11,691.90x = 17,547.80 × 4,676.82
  4. Step 4: Simplify right side
    11,691.90x = 82,067,902.00
  5. Step 5: Solve for x
    x = 82,067,902.00/11,691.90
  6. Step 6: Final answer
    x = 7,019.21

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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.