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Finding the Fourth Proportional to 7,833.18, 11,750.01 and 2,286.39

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Solution

The fourth proportional to 7,833.18, 11,750.01 and 2,286.39 is: 3,429.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.18 : 11,750.01 = 2,286.39 : x
  2. Step 2: Convert to fraction form
    7,833.18/11,750.01 = 2,286.39/x
  3. Step 3: Cross multiply
    7,833.18x = 11,750.01 × 2,286.39
  4. Step 4: Simplify right side
    7,833.18x = 26,865,105.36
  5. Step 5: Solve for x
    x = 26,865,105.36/7,833.18
  6. Step 6: Final answer
    x = 3,429.66

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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.