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Finding the Fourth Proportional to 11,777.72, 16,253.26 and 6,472.80

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Solution

The fourth proportional to 11,777.72, 16,253.26 and 6,472.80 is: 8,932.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.72 : 16,253.26 = 6,472.80 : x
  2. Step 2: Convert to fraction form
    11,777.72/16,253.26 = 6,472.80/x
  3. Step 3: Cross multiply
    11,777.72x = 16,253.26 × 6,472.80
  4. Step 4: Simplify right side
    11,777.72x = 105,204,085.15
  5. Step 5: Solve for x
    x = 105,204,085.15/11,777.72
  6. Step 6: Final answer
    x = 8,932.47

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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.