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Finding the Fourth Proportional to 11,818.73, 17,730.70 and 3,499.40

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Solution

The fourth proportional to 11,818.73, 17,730.70 and 3,499.40 is: 5,249.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,818.73 : 17,730.70 = 3,499.40 : x
  2. Step 2: Convert to fraction form
    11,818.73/17,730.70 = 3,499.40/x
  3. Step 3: Cross multiply
    11,818.73x = 17,730.70 × 3,499.40
  4. Step 4: Simplify right side
    11,818.73x = 62,046,788.29
  5. Step 5: Solve for x
    x = 62,046,788.29/11,818.73
  6. Step 6: Final answer
    x = 5,249.87

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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.