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Finding the Fourth Proportional to 8,201.86, 11,318.03 and 4,664.99

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Solution

The fourth proportional to 8,201.86, 11,318.03 and 4,664.99 is: 6,437.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.86 : 11,318.03 = 4,664.99 : x
  2. Step 2: Convert to fraction form
    8,201.86/11,318.03 = 4,664.99/x
  3. Step 3: Cross multiply
    8,201.86x = 11,318.03 × 4,664.99
  4. Step 4: Simplify right side
    8,201.86x = 52,798,519.23
  5. Step 5: Solve for x
    x = 52,798,519.23/8,201.86
  6. Step 6: Final answer
    x = 6,437.39

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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.