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Finding the Fourth Proportional to 8,208.39, 11,327.00 and 6,444.21

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Solution

The fourth proportional to 8,208.39, 11,327.00 and 6,444.21 is: 8,892.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,208.39 : 11,327.00 = 6,444.21 : x
  2. Step 2: Convert to fraction form
    8,208.39/11,327.00 = 6,444.21/x
  3. Step 3: Cross multiply
    8,208.39x = 11,327.00 × 6,444.21
  4. Step 4: Simplify right side
    8,208.39x = 72,993,534.45
  5. Step 5: Solve for x
    x = 72,993,534.45/8,208.39
  6. Step 6: Final answer
    x = 8,892.55

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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.