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Finding the Fourth Proportional to 11,772.91, 16,246.01 and 6,466.71

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Solution

The fourth proportional to 11,772.91, 16,246.01 and 6,466.71 is: 8,923.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.91 : 16,246.01 = 6,466.71 : x
  2. Step 2: Convert to fraction form
    11,772.91/16,246.01 = 6,466.71/x
  3. Step 3: Cross multiply
    11,772.91x = 16,246.01 × 6,466.71
  4. Step 4: Simplify right side
    11,772.91x = 105,058,235.33
  5. Step 5: Solve for x
    x = 105,058,235.33/11,772.91
  6. Step 6: Final answer
    x = 8,923.73

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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.