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Finding the Fourth Proportional to 7,981.54, 11,954.08 and 3,824.50

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Solution

The fourth proportional to 7,981.54, 11,954.08 and 3,824.50 is: 5,728.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,981.54 : 11,954.08 = 3,824.50 : x
  2. Step 2: Convert to fraction form
    7,981.54/11,954.08 = 3,824.50/x
  3. Step 3: Cross multiply
    7,981.54x = 11,954.08 × 3,824.50
  4. Step 4: Simplify right side
    7,981.54x = 45,718,378.96
  5. Step 5: Solve for x
    x = 45,718,378.96/7,981.54
  6. Step 6: Final answer
    x = 5,728.01

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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.