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Finding the Fourth Proportional to 7,981.26, 11,954.07 and 5,199.45

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Solution

The fourth proportional to 7,981.26, 11,954.07 and 5,199.45 is: 7,787.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,981.26 : 11,954.07 = 5,199.45 : x
  2. Step 2: Convert to fraction form
    7,981.26/11,954.07 = 5,199.45/x
  3. Step 3: Cross multiply
    7,981.26x = 11,954.07 × 5,199.45
  4. Step 4: Simplify right side
    7,981.26x = 62,154,589.26
  5. Step 5: Solve for x
    x = 62,154,589.26/7,981.26
  6. Step 6: Final answer
    x = 7,787.57

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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.