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Finding the Fourth Proportional to 11,514.96, 17,273.52 and 4,590

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Solution

The fourth proportional to 11,514.96, 17,273.52 and 4,590 is: 6,885.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,514.96 : 17,273.52 = 4,590 : x
  2. Step 2: Convert to fraction form
    11,514.96/17,273.52 = 4,590/x
  3. Step 3: Cross multiply
    11,514.96x = 17,273.52 × 4,590
  4. Step 4: Simplify right side
    11,514.96x = 79,285,456.80
  5. Step 5: Solve for x
    x = 79,285,456.80/11,514.96
  6. Step 6: Final answer
    x = 6,885.43

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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.