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Finding the Fourth Proportional to 11,489.54, 15,855.57 and 6,453.76

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Solution

The fourth proportional to 11,489.54, 15,855.57 and 6,453.76 is: 8,906.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,489.54 : 15,855.57 = 6,453.76 : x
  2. Step 2: Convert to fraction form
    11,489.54/15,855.57 = 6,453.76/x
  3. Step 3: Cross multiply
    11,489.54x = 15,855.57 × 6,453.76
  4. Step 4: Simplify right side
    11,489.54x = 102,328,024.46
  5. Step 5: Solve for x
    x = 102,328,024.46/11,489.54
  6. Step 6: Final answer
    x = 8,906.19

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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.