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Finding the Fourth Proportional to 7,689.20, 11,544.73 and 5,852.12

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Solution

The fourth proportional to 7,689.20, 11,544.73 and 5,852.12 is: 8,786.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689.20 : 11,544.73 = 5,852.12 : x
  2. Step 2: Convert to fraction form
    7,689.20/11,544.73 = 5,852.12/x
  3. Step 3: Cross multiply
    7,689.20x = 11,544.73 × 5,852.12
  4. Step 4: Simplify right side
    7,689.20x = 67,561,072.97
  5. Step 5: Solve for x
    x = 67,561,072.97/7,689.20
  6. Step 6: Final answer
    x = 8,786.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.