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Finding the Fourth Proportional to 7,883.06, 11,832.05 and 5,796.71

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Solution

The fourth proportional to 7,883.06, 11,832.05 and 5,796.71 is: 8,700.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883.06 : 11,832.05 = 5,796.71 : x
  2. Step 2: Convert to fraction form
    7,883.06/11,832.05 = 5,796.71/x
  3. Step 3: Cross multiply
    7,883.06x = 11,832.05 × 5,796.71
  4. Step 4: Simplify right side
    7,883.06x = 68,586,962.56
  5. Step 5: Solve for x
    x = 68,586,962.56/7,883.06
  6. Step 6: Final answer
    x = 8,700.55

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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.