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Finding the Fourth Proportional to 11,757.53, 16,226.12 and 6,453.11

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Solution

The fourth proportional to 11,757.53, 16,226.12 and 6,453.11 is: 8,905.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.53 : 16,226.12 = 6,453.11 : x
  2. Step 2: Convert to fraction form
    11,757.53/16,226.12 = 6,453.11/x
  3. Step 3: Cross multiply
    11,757.53x = 16,226.12 × 6,453.11
  4. Step 4: Simplify right side
    11,757.53x = 104,708,937.23
  5. Step 5: Solve for x
    x = 104,708,937.23/11,757.53
  6. Step 6: Final answer
    x = 8,905.69

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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.