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Finding the Fourth Proportional to 7,824.35, 11,728.32 and 3,660.84

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Solution

The fourth proportional to 7,824.35, 11,728.32 and 3,660.84 is: 5,487.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824.35 : 11,728.32 = 3,660.84 : x
  2. Step 2: Convert to fraction form
    7,824.35/11,728.32 = 3,660.84/x
  3. Step 3: Cross multiply
    7,824.35x = 11,728.32 × 3,660.84
  4. Step 4: Simplify right side
    7,824.35x = 42,935,502.99
  5. Step 5: Solve for x
    x = 42,935,502.99/7,824.35
  6. Step 6: Final answer
    x = 5,487.42

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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.