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Finding the Fourth Proportional to 12,008.25, 16,571.82 and 6,703.41

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Solution

The fourth proportional to 12,008.25, 16,571.82 and 6,703.41 is: 9,250.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,008.25 : 16,571.82 = 6,703.41 : x
  2. Step 2: Convert to fraction form
    12,008.25/16,571.82 = 6,703.41/x
  3. Step 3: Cross multiply
    12,008.25x = 16,571.82 × 6,703.41
  4. Step 4: Simplify right side
    12,008.25x = 111,087,703.91
  5. Step 5: Solve for x
    x = 111,087,703.91/12,008.25
  6. Step 6: Final answer
    x = 9,250.95

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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.