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Finding the Fourth Proportional to 11,777.68, 16,253.52 and 6,472.56

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Solution

The fourth proportional to 11,777.68, 16,253.52 and 6,472.56 is: 8,932.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.68 : 16,253.52 = 6,472.56 : x
  2. Step 2: Convert to fraction form
    11,777.68/16,253.52 = 6,472.56/x
  3. Step 3: Cross multiply
    11,777.68x = 16,253.52 × 6,472.56
  4. Step 4: Simplify right side
    11,777.68x = 105,201,883.41
  5. Step 5: Solve for x
    x = 105,201,883.41/11,777.68
  6. Step 6: Final answer
    x = 8,932.31

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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.