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Finding the Fourth Proportional to 7,786.59, 11,675.37 and 5,324.40

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Solution

The fourth proportional to 7,786.59, 11,675.37 and 5,324.40 is: 7,983.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.59 : 11,675.37 = 5,324.40 : x
  2. Step 2: Convert to fraction form
    7,786.59/11,675.37 = 5,324.40/x
  3. Step 3: Cross multiply
    7,786.59x = 11,675.37 × 5,324.40
  4. Step 4: Simplify right side
    7,786.59x = 62,164,340.03
  5. Step 5: Solve for x
    x = 62,164,340.03/7,786.59
  6. Step 6: Final answer
    x = 7,983.51

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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.