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Finding the Fourth Proportional to 11,714.01, 17,572.77 and 3,921

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Solution

The fourth proportional to 11,714.01, 17,572.77 and 3,921 is: 5,882.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.01 : 17,572.77 = 3,921 : x
  2. Step 2: Convert to fraction form
    11,714.01/17,572.77 = 3,921/x
  3. Step 3: Cross multiply
    11,714.01x = 17,572.77 × 3,921
  4. Step 4: Simplify right side
    11,714.01x = 68,902,831.17
  5. Step 5: Solve for x
    x = 68,902,831.17/11,714.01
  6. Step 6: Final answer
    x = 5,882.09

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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.