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Finding the Fourth Proportional to 7,833.06, 11,750.16 and 2,286.44

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Solution

The fourth proportional to 7,833.06, 11,750.16 and 2,286.44 is: 3,429.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.06 : 11,750.16 = 2,286.44 : x
  2. Step 2: Convert to fraction form
    7,833.06/11,750.16 = 2,286.44/x
  3. Step 3: Cross multiply
    7,833.06x = 11,750.16 × 2,286.44
  4. Step 4: Simplify right side
    7,833.06x = 26,866,035.83
  5. Step 5: Solve for x
    x = 26,866,035.83/7,833.06
  6. Step 6: Final answer
    x = 3,429.83

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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.