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Finding the Fourth Proportional to 7,971.30, 11,956.68 and 3,814.20

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Solution

The fourth proportional to 7,971.30, 11,956.68 and 3,814.20 is: 5,721.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971.30 : 11,956.68 = 3,814.20 : x
  2. Step 2: Convert to fraction form
    7,971.30/11,956.68 = 3,814.20/x
  3. Step 3: Cross multiply
    7,971.30x = 11,956.68 × 3,814.20
  4. Step 4: Simplify right side
    7,971.30x = 45,605,168.86
  5. Step 5: Solve for x
    x = 45,605,168.86/7,971.30
  6. Step 6: Final answer
    x = 5,721.17

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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.