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Finding the Fourth Proportional to 11,676.61, 17,514.87 and 6,998.03

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Solution

The fourth proportional to 11,676.61, 17,514.87 and 6,998.03 is: 10,497.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.61 : 17,514.87 = 6,998.03 : x
  2. Step 2: Convert to fraction form
    11,676.61/17,514.87 = 6,998.03/x
  3. Step 3: Cross multiply
    11,676.61x = 17,514.87 × 6,998.03
  4. Step 4: Simplify right side
    11,676.61x = 122,569,585.71
  5. Step 5: Solve for x
    x = 122,569,585.71/11,676.61
  6. Step 6: Final answer
    x = 10,497.02

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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.