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Finding the Fourth Proportional to 7,678.37, 11,515.28 and 3,294.78

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Solution

The fourth proportional to 7,678.37, 11,515.28 and 3,294.78 is: 4,941.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.37 : 11,515.28 = 3,294.78 : x
  2. Step 2: Convert to fraction form
    7,678.37/11,515.28 = 3,294.78/x
  3. Step 3: Cross multiply
    7,678.37x = 11,515.28 × 3,294.78
  4. Step 4: Simplify right side
    7,678.37x = 37,940,297.76
  5. Step 5: Solve for x
    x = 37,940,297.76/7,678.37
  6. Step 6: Final answer
    x = 4,941.19

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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.