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Finding the Fourth Proportional to 7,687.92, 11,524.32 and 2,756.64

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Solution

The fourth proportional to 7,687.92, 11,524.32 and 2,756.64 is: 4,132.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.92 : 11,524.32 = 2,756.64 : x
  2. Step 2: Convert to fraction form
    7,687.92/11,524.32 = 2,756.64/x
  3. Step 3: Cross multiply
    7,687.92x = 11,524.32 × 2,756.64
  4. Step 4: Simplify right side
    7,687.92x = 31,768,401.48
  5. Step 5: Solve for x
    x = 31,768,401.48/7,687.92
  6. Step 6: Final answer
    x = 4,132.25

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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.