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Finding the Fourth Proportional to 11,177.56, 16,767 and 8,048.98

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Solution

The fourth proportional to 11,177.56, 16,767 and 8,048.98 is: 12,073.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,177.56 : 16,767 = 8,048.98 : x
  2. Step 2: Convert to fraction form
    11,177.56/16,767 = 8,048.98/x
  3. Step 3: Cross multiply
    11,177.56x = 16,767 × 8,048.98
  4. Step 4: Simplify right side
    11,177.56x = 134,957,247.66
  5. Step 5: Solve for x
    x = 134,957,247.66/11,177.56
  6. Step 6: Final answer
    x = 12,073.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.