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Finding the Fourth Proportional to 11,721, 17,580.59 and 5,147.24

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Solution

The fourth proportional to 11,721, 17,580.59 and 5,147.24 is: 7,720.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,721 : 17,580.59 = 5,147.24 : x
  2. Step 2: Convert to fraction form
    11,721/17,580.59 = 5,147.24/x
  3. Step 3: Cross multiply
    11,721x = 17,580.59 × 5,147.24
  4. Step 4: Simplify right side
    11,721x = 90,491,490.34
  5. Step 5: Solve for x
    x = 90,491,490.34/11,721
  6. Step 6: Final answer
    x = 7,720.46

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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.