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Finding the Fourth Proportional to 10,721, 16,072.20 and 4,151.96

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Solution

The fourth proportional to 10,721, 16,072.20 and 4,151.96 is: 6,224.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,721 : 16,072.20 = 4,151.96 : x
  2. Step 2: Convert to fraction form
    10,721/16,072.20 = 4,151.96/x
  3. Step 3: Cross multiply
    10,721x = 16,072.20 × 4,151.96
  4. Step 4: Simplify right side
    10,721x = 66,731,131.51
  5. Step 5: Solve for x
    x = 66,731,131.51/10,721
  6. Step 6: Final answer
    x = 6,224.34

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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.