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Finding the Fourth Proportional to 8,649.39, 11,924.24 and 6,523.95

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Solution

The fourth proportional to 8,649.39, 11,924.24 and 6,523.95 is: 8,994.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.39 : 11,924.24 = 6,523.95 : x
  2. Step 2: Convert to fraction form
    8,649.39/11,924.24 = 6,523.95/x
  3. Step 3: Cross multiply
    8,649.39x = 11,924.24 × 6,523.95
  4. Step 4: Simplify right side
    8,649.39x = 77,793,112.93
  5. Step 5: Solve for x
    x = 77,793,112.93/8,649.39
  6. Step 6: Final answer
    x = 8,994.06

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