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Finding the Fourth Proportional to 8,380.02, 11,567.14 and 6,029

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Solution

The fourth proportional to 8,380.02, 11,567.14 and 6,029 is: 8,321.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.02 : 11,567.14 = 6,029 : x
  2. Step 2: Convert to fraction form
    8,380.02/11,567.14 = 6,029/x
  3. Step 3: Cross multiply
    8,380.02x = 11,567.14 × 6,029
  4. Step 4: Simplify right side
    8,380.02x = 69,738,287.06
  5. Step 5: Solve for x
    x = 69,738,287.06/8,380.02
  6. Step 6: Final answer
    x = 8,321.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.