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Finding the Fourth Proportional to 7,675.74, 11,513.88 and 3,288.78

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Solution

The fourth proportional to 7,675.74, 11,513.88 and 3,288.78 is: 4,933.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675.74 : 11,513.88 = 3,288.78 : x
  2. Step 2: Convert to fraction form
    7,675.74/11,513.88 = 3,288.78/x
  3. Step 3: Cross multiply
    7,675.74x = 11,513.88 × 3,288.78
  4. Step 4: Simplify right side
    7,675.74x = 37,866,618.27
  5. Step 5: Solve for x
    x = 37,866,618.27/7,675.74
  6. Step 6: Final answer
    x = 4,933.29

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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.