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Finding the Fourth Proportional to 12,123.25, 16,728.19 and 7,649.46

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Solution

The fourth proportional to 12,123.25, 16,728.19 and 7,649.46 is: 10,555.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,123.25 : 16,728.19 = 7,649.46 : x
  2. Step 2: Convert to fraction form
    12,123.25/16,728.19 = 7,649.46/x
  3. Step 3: Cross multiply
    12,123.25x = 16,728.19 × 7,649.46
  4. Step 4: Simplify right side
    12,123.25x = 127,961,601.15
  5. Step 5: Solve for x
    x = 127,961,601.15/12,123.25
  6. Step 6: Final answer
    x = 10,555.06

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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.