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Finding the Fourth Proportional to 7,697.81, 11,544.89 and 2,767.34

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Solution

The fourth proportional to 7,697.81, 11,544.89 and 2,767.34 is: 4,150.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.81 : 11,544.89 = 2,767.34 : x
  2. Step 2: Convert to fraction form
    7,697.81/11,544.89 = 2,767.34/x
  3. Step 3: Cross multiply
    7,697.81x = 11,544.89 × 2,767.34
  4. Step 4: Simplify right side
    7,697.81x = 31,948,564.33
  5. Step 5: Solve for x
    x = 31,948,564.33/7,697.81
  6. Step 6: Final answer
    x = 4,150.35

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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.