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Finding the Fourth Proportional to 7,833.13, 11,754.30 and 2,906.20

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Solution

The fourth proportional to 7,833.13, 11,754.30 and 2,906.20 is: 4,361.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.13 : 11,754.30 = 2,906.20 : x
  2. Step 2: Convert to fraction form
    7,833.13/11,754.30 = 2,906.20/x
  3. Step 3: Cross multiply
    7,833.13x = 11,754.30 × 2,906.20
  4. Step 4: Simplify right side
    7,833.13x = 34,160,346.66
  5. Step 5: Solve for x
    x = 34,160,346.66/7,833.13
  6. Step 6: Final answer
    x = 4,361.01

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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.