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Finding the Fourth Proportional to 7,881.68, 11,824.75 and 2,617.19

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Solution

The fourth proportional to 7,881.68, 11,824.75 and 2,617.19 is: 3,926.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.68 : 11,824.75 = 2,617.19 : x
  2. Step 2: Convert to fraction form
    7,881.68/11,824.75 = 2,617.19/x
  3. Step 3: Cross multiply
    7,881.68x = 11,824.75 × 2,617.19
  4. Step 4: Simplify right side
    7,881.68x = 30,947,617.45
  5. Step 5: Solve for x
    x = 30,947,617.45/7,881.68
  6. Step 6: Final answer
    x = 3,926.53

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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.