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Finding the Fourth Proportional to 8,004.66, 11,046.43 and 4,419.61

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Solution

The fourth proportional to 8,004.66, 11,046.43 and 4,419.61 is: 6,099.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,004.66 : 11,046.43 = 4,419.61 : x
  2. Step 2: Convert to fraction form
    8,004.66/11,046.43 = 4,419.61/x
  3. Step 3: Cross multiply
    8,004.66x = 11,046.43 × 4,419.61
  4. Step 4: Simplify right side
    8,004.66x = 48,820,912.49
  5. Step 5: Solve for x
    x = 48,820,912.49/8,004.66
  6. Step 6: Final answer
    x = 6,099.06

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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.