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Finding the Fourth Proportional to 7,674.48, 11,512.12 and 3,288.88

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Solution

The fourth proportional to 7,674.48, 11,512.12 and 3,288.88 is: 4,933.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.48 : 11,512.12 = 3,288.88 : x
  2. Step 2: Convert to fraction form
    7,674.48/11,512.12 = 3,288.88/x
  3. Step 3: Cross multiply
    7,674.48x = 11,512.12 × 3,288.88
  4. Step 4: Simplify right side
    7,674.48x = 37,861,981.23
  5. Step 5: Solve for x
    x = 37,861,981.23/7,674.48
  6. Step 6: Final answer
    x = 4,933.49

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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.