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Finding the Fourth Proportional to 7,514.98, 11,270.42 and 2,832

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Solution

The fourth proportional to 7,514.98, 11,270.42 and 2,832 is: 4,247.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,514.98 : 11,270.42 = 2,832 : x
  2. Step 2: Convert to fraction form
    7,514.98/11,270.42 = 2,832/x
  3. Step 3: Cross multiply
    7,514.98x = 11,270.42 × 2,832
  4. Step 4: Simplify right side
    7,514.98x = 31,917,829.44
  5. Step 5: Solve for x
    x = 31,917,829.44/7,514.98
  6. Step 6: Final answer
    x = 4,247.23

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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.