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Finding the Fourth Proportional to 8,524.94, 12,738.00 and 6,671.66

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Solution

The fourth proportional to 8,524.94, 12,738.00 and 6,671.66 is: 9,968.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.94 : 12,738.00 = 6,671.66 : x
  2. Step 2: Convert to fraction form
    8,524.94/12,738.00 = 6,671.66/x
  3. Step 3: Cross multiply
    8,524.94x = 12,738.00 × 6,671.66
  4. Step 4: Simplify right side
    8,524.94x = 84,983,571.72
  5. Step 5: Solve for x
    x = 84,983,571.72/8,524.94
  6. Step 6: Final answer
    x = 9,968.82

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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.