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Finding the Fourth Proportional to 7,792.54, 10,743.50 and 5,769.56

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Solution

The fourth proportional to 7,792.54, 10,743.50 and 5,769.56 is: 7,954.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.54 : 10,743.50 = 5,769.56 : x
  2. Step 2: Convert to fraction form
    7,792.54/10,743.50 = 5,769.56/x
  3. Step 3: Cross multiply
    7,792.54x = 10,743.50 × 5,769.56
  4. Step 4: Simplify right side
    7,792.54x = 61,985,239.01
  5. Step 5: Solve for x
    x = 61,985,239.01/7,792.54
  6. Step 6: Final answer
    x = 7,954.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.