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Finding the Fourth Proportional to 11,758.83, 16,227.32 and 6,453.53

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Solution

The fourth proportional to 11,758.83, 16,227.32 and 6,453.53 is: 8,905.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,758.83 : 16,227.32 = 6,453.53 : x
  2. Step 2: Convert to fraction form
    11,758.83/16,227.32 = 6,453.53/x
  3. Step 3: Cross multiply
    11,758.83x = 16,227.32 × 6,453.53
  4. Step 4: Simplify right side
    11,758.83x = 104,723,496.44
  5. Step 5: Solve for x
    x = 104,723,496.44/11,758.83
  6. Step 6: Final answer
    x = 8,905.95

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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.