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Finding the Fourth Proportional to 7,822.68, 11,734.03 and 1,979.29

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Solution

The fourth proportional to 7,822.68, 11,734.03 and 1,979.29 is: 2,968.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.68 : 11,734.03 = 1,979.29 : x
  2. Step 2: Convert to fraction form
    7,822.68/11,734.03 = 1,979.29/x
  3. Step 3: Cross multiply
    7,822.68x = 11,734.03 × 1,979.29
  4. Step 4: Simplify right side
    7,822.68x = 23,225,048.24
  5. Step 5: Solve for x
    x = 23,225,048.24/7,822.68
  6. Step 6: Final answer
    x = 2,968.94

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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.