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Finding the Fourth Proportional to 8,208.05, 12,256.34 and 6,523.20

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Solution

The fourth proportional to 8,208.05, 12,256.34 and 6,523.20 is: 9,740.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,208.05 : 12,256.34 = 6,523.20 : x
  2. Step 2: Convert to fraction form
    8,208.05/12,256.34 = 6,523.20/x
  3. Step 3: Cross multiply
    8,208.05x = 12,256.34 × 6,523.20
  4. Step 4: Simplify right side
    8,208.05x = 79,950,524.47
  5. Step 5: Solve for x
    x = 79,950,524.47/8,208.05
  6. Step 6: Final answer
    x = 9,740.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.