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Finding the Fourth Proportional to 7,959.48, 11,943.42 and 5,786.20

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Solution

The fourth proportional to 7,959.48, 11,943.42 and 5,786.20 is: 8,682.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,959.48 : 11,943.42 = 5,786.20 : x
  2. Step 2: Convert to fraction form
    7,959.48/11,943.42 = 5,786.20/x
  3. Step 3: Cross multiply
    7,959.48x = 11,943.42 × 5,786.20
  4. Step 4: Simplify right side
    7,959.48x = 69,107,016.80
  5. Step 5: Solve for x
    x = 69,107,016.80/7,959.48
  6. Step 6: Final answer
    x = 8,682.35

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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.