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Finding the Fourth Proportional to 7,873.49, 11,812.97 and 3,494.02

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Solution

The fourth proportional to 7,873.49, 11,812.97 and 3,494.02 is: 5,242.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.49 : 11,812.97 = 3,494.02 : x
  2. Step 2: Convert to fraction form
    7,873.49/11,812.97 = 3,494.02/x
  3. Step 3: Cross multiply
    7,873.49x = 11,812.97 × 3,494.02
  4. Step 4: Simplify right side
    7,873.49x = 41,274,676.90
  5. Step 5: Solve for x
    x = 41,274,676.90/7,873.49
  6. Step 6: Final answer
    x = 5,242.23

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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.