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Finding the Fourth Proportional to 7,923.14, 11,871.54 and 5,578.23

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Solution

The fourth proportional to 7,923.14, 11,871.54 and 5,578.23 is: 8,358.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,923.14 : 11,871.54 = 5,578.23 : x
  2. Step 2: Convert to fraction form
    7,923.14/11,871.54 = 5,578.23/x
  3. Step 3: Cross multiply
    7,923.14x = 11,871.54 × 5,578.23
  4. Step 4: Simplify right side
    7,923.14x = 66,222,180.57
  5. Step 5: Solve for x
    x = 66,222,180.57/7,923.14
  6. Step 6: Final answer
    x = 8,358.08

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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.