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Finding the Fourth Proportional to 10,198.48, 14,072.76 and 5,721.30

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Solution

The fourth proportional to 10,198.48, 14,072.76 and 5,721.30 is: 7,894.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,198.48 : 14,072.76 = 5,721.30 : x
  2. Step 2: Convert to fraction form
    10,198.48/14,072.76 = 5,721.30/x
  3. Step 3: Cross multiply
    10,198.48x = 14,072.76 × 5,721.30
  4. Step 4: Simplify right side
    10,198.48x = 80,514,481.79
  5. Step 5: Solve for x
    x = 80,514,481.79/10,198.48
  6. Step 6: Final answer
    x = 7,894.75

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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.