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Finding the Fourth Proportional to 11,977.76, 16,537.08 and 11,234.24

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Solution

The fourth proportional to 11,977.76, 16,537.08 and 11,234.24 is: 15,510.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,977.76 : 16,537.08 = 11,234.24 : x
  2. Step 2: Convert to fraction form
    11,977.76/16,537.08 = 11,234.24/x
  3. Step 3: Cross multiply
    11,977.76x = 16,537.08 × 11,234.24
  4. Step 4: Simplify right side
    11,977.76x = 185,781,525.62
  5. Step 5: Solve for x
    x = 185,781,525.62/11,977.76
  6. Step 6: Final answer
    x = 15,510.54

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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.