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Finding the Fourth Proportional to 7,665.75, 11,501.40 and 3,772.89

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Solution

The fourth proportional to 7,665.75, 11,501.40 and 3,772.89 is: 5,660.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665.75 : 11,501.40 = 3,772.89 : x
  2. Step 2: Convert to fraction form
    7,665.75/11,501.40 = 3,772.89/x
  3. Step 3: Cross multiply
    7,665.75x = 11,501.40 × 3,772.89
  4. Step 4: Simplify right side
    7,665.75x = 43,393,517.05
  5. Step 5: Solve for x
    x = 43,393,517.05/7,665.75
  6. Step 6: Final answer
    x = 5,660.70

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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.