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Finding the Fourth Proportional to 8,232.65, 12,350.94 and 2,686.00

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Solution

The fourth proportional to 8,232.65, 12,350.94 and 2,686.00 is: 4,029.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.65 : 12,350.94 = 2,686.00 : x
  2. Step 2: Convert to fraction form
    8,232.65/12,350.94 = 2,686.00/x
  3. Step 3: Cross multiply
    8,232.65x = 12,350.94 × 2,686.00
  4. Step 4: Simplify right side
    8,232.65x = 33,174,593.96
  5. Step 5: Solve for x
    x = 33,174,593.96/8,232.65
  6. Step 6: Final answer
    x = 4,029.64

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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.