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Finding the Fourth Proportional to 11,031.78, 16,547.24 and 2,711.82

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Solution

The fourth proportional to 11,031.78, 16,547.24 and 2,711.82 is: 4,067.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,031.78 : 16,547.24 = 2,711.82 : x
  2. Step 2: Convert to fraction form
    11,031.78/16,547.24 = 2,711.82/x
  3. Step 3: Cross multiply
    11,031.78x = 16,547.24 × 2,711.82
  4. Step 4: Simplify right side
    11,031.78x = 44,873,136.38
  5. Step 5: Solve for x
    x = 44,873,136.38/11,031.78
  6. Step 6: Final answer
    x = 4,067.62

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