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Finding the Fourth Proportional to 7,997.81, 11,042.42 and 5,172.02

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Solution

The fourth proportional to 7,997.81, 11,042.42 and 5,172.02 is: 7,140.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.81 : 11,042.42 = 5,172.02 : x
  2. Step 2: Convert to fraction form
    7,997.81/11,042.42 = 5,172.02/x
  3. Step 3: Cross multiply
    7,997.81x = 11,042.42 × 5,172.02
  4. Step 4: Simplify right side
    7,997.81x = 57,111,536.02
  5. Step 5: Solve for x
    x = 57,111,536.02/7,997.81
  6. Step 6: Final answer
    x = 7,140.90

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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.