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Finding the Fourth Proportional to 7,823.01, 11,734.57 and 1,979.62

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Solution

The fourth proportional to 7,823.01, 11,734.57 and 1,979.62 is: 2,969.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823.01 : 11,734.57 = 1,979.62 : x
  2. Step 2: Convert to fraction form
    7,823.01/11,734.57 = 1,979.62/x
  3. Step 3: Cross multiply
    7,823.01x = 11,734.57 × 1,979.62
  4. Step 4: Simplify right side
    7,823.01x = 23,229,989.46
  5. Step 5: Solve for x
    x = 23,229,989.46/7,823.01
  6. Step 6: Final answer
    x = 2,969.44

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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.