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Finding the Fourth Proportional to 11,748.11, 16,212.86 and 6,443.12

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Solution

The fourth proportional to 11,748.11, 16,212.86 and 6,443.12 is: 8,891.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,748.11 : 16,212.86 = 6,443.12 : x
  2. Step 2: Convert to fraction form
    11,748.11/16,212.86 = 6,443.12/x
  3. Step 3: Cross multiply
    11,748.11x = 16,212.86 × 6,443.12
  4. Step 4: Simplify right side
    11,748.11x = 104,461,289.24
  5. Step 5: Solve for x
    x = 104,461,289.24/11,748.11
  6. Step 6: Final answer
    x = 8,891.76

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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.