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Finding the Fourth Proportional to 7,833.75, 11,750.07 and 3,674.70

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Solution

The fourth proportional to 7,833.75, 11,750.07 and 3,674.70 is: 5,511.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.75 : 11,750.07 = 3,674.70 : x
  2. Step 2: Convert to fraction form
    7,833.75/11,750.07 = 3,674.70/x
  3. Step 3: Cross multiply
    7,833.75x = 11,750.07 × 3,674.70
  4. Step 4: Simplify right side
    7,833.75x = 43,177,982.23
  5. Step 5: Solve for x
    x = 43,177,982.23/7,833.75
  6. Step 6: Final answer
    x = 5,511.79

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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.