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Finding the Fourth Proportional to 12,260.34, 16,912.44 and 7,776.18

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Solution

The fourth proportional to 12,260.34, 16,912.44 and 7,776.18 is: 10,726.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,260.34 : 16,912.44 = 7,776.18 : x
  2. Step 2: Convert to fraction form
    12,260.34/16,912.44 = 7,776.18/x
  3. Step 3: Cross multiply
    12,260.34x = 16,912.44 × 7,776.18
  4. Step 4: Simplify right side
    12,260.34x = 131,514,177.68
  5. Step 5: Solve for x
    x = 131,514,177.68/12,260.34
  6. Step 6: Final answer
    x = 10,726.80

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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.