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Finding the Fourth Proportional to 11,900.31, 16,405.70 and 8,537.49

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Solution

The fourth proportional to 11,900.31, 16,405.70 and 8,537.49 is: 11,769.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900.31 : 16,405.70 = 8,537.49 : x
  2. Step 2: Convert to fraction form
    11,900.31/16,405.70 = 8,537.49/x
  3. Step 3: Cross multiply
    11,900.31x = 16,405.70 × 8,537.49
  4. Step 4: Simplify right side
    11,900.31x = 140,063,499.69
  5. Step 5: Solve for x
    x = 140,063,499.69/11,900.31
  6. Step 6: Final answer
    x = 11,769.74

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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.