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Finding the Fourth Proportional to 11,811.75, 16,300.22 and 6,506.55

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Solution

The fourth proportional to 11,811.75, 16,300.22 and 6,506.55 is: 8,979.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.75 : 16,300.22 = 6,506.55 : x
  2. Step 2: Convert to fraction form
    11,811.75/16,300.22 = 6,506.55/x
  3. Step 3: Cross multiply
    11,811.75x = 16,300.22 × 6,506.55
  4. Step 4: Simplify right side
    11,811.75x = 106,058,163.91
  5. Step 5: Solve for x
    x = 106,058,163.91/11,811.75
  6. Step 6: Final answer
    x = 8,979.04

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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.