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Finding the Fourth Proportional to 11,777.26, 16,252.64 and 6,472.09

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Solution

The fourth proportional to 11,777.26, 16,252.64 and 6,472.09 is: 8,931.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.26 : 16,252.64 = 6,472.09 : x
  2. Step 2: Convert to fraction form
    11,777.26/16,252.64 = 6,472.09/x
  3. Step 3: Cross multiply
    11,777.26x = 16,252.64 × 6,472.09
  4. Step 4: Simplify right side
    11,777.26x = 105,188,548.82
  5. Step 5: Solve for x
    x = 105,188,548.82/11,777.26
  6. Step 6: Final answer
    x = 8,931.50

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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.