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Finding the Fourth Proportional to 7,958.17, 11,937.25 and 2,114.78

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Solution

The fourth proportional to 7,958.17, 11,937.25 and 2,114.78 is: 3,172.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,958.17 : 11,937.25 = 2,114.78 : x
  2. Step 2: Convert to fraction form
    7,958.17/11,937.25 = 2,114.78/x
  3. Step 3: Cross multiply
    7,958.17x = 11,937.25 × 2,114.78
  4. Step 4: Simplify right side
    7,958.17x = 25,244,695.28
  5. Step 5: Solve for x
    x = 25,244,695.28/7,958.17
  6. Step 6: Final answer
    x = 3,172.17

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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.