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Finding the Fourth Proportional to 11,231.62, 15,498.39 and 6,514.99

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Solution

The fourth proportional to 11,231.62, 15,498.39 and 6,514.99 is: 8,989.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,231.62 : 15,498.39 = 6,514.99 : x
  2. Step 2: Convert to fraction form
    11,231.62/15,498.39 = 6,514.99/x
  3. Step 3: Cross multiply
    11,231.62x = 15,498.39 × 6,514.99
  4. Step 4: Simplify right side
    11,231.62x = 100,971,855.87
  5. Step 5: Solve for x
    x = 100,971,855.87/11,231.62
  6. Step 6: Final answer
    x = 8,989.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.