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Finding the Fourth Proportional to 7,822.57, 11,733.93 and 1,979.19

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Solution

The fourth proportional to 7,822.57, 11,733.93 and 1,979.19 is: 2,968.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.57 : 11,733.93 = 1,979.19 : x
  2. Step 2: Convert to fraction form
    7,822.57/11,733.93 = 1,979.19/x
  3. Step 3: Cross multiply
    7,822.57x = 11,733.93 × 1,979.19
  4. Step 4: Simplify right side
    7,822.57x = 23,223,676.92
  5. Step 5: Solve for x
    x = 23,223,676.92/7,822.57
  6. Step 6: Final answer
    x = 2,968.80

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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.