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Finding the Fourth Proportional to 11,748.69, 16,213.32 and 6,443.37

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Solution

The fourth proportional to 11,748.69, 16,213.32 and 6,443.37 is: 8,891.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,748.69 : 16,213.32 = 6,443.37 : x
  2. Step 2: Convert to fraction form
    11,748.69/16,213.32 = 6,443.37/x
  3. Step 3: Cross multiply
    11,748.69x = 16,213.32 × 6,443.37
  4. Step 4: Simplify right side
    11,748.69x = 104,468,419.69
  5. Step 5: Solve for x
    x = 104,468,419.69/11,748.69
  6. Step 6: Final answer
    x = 8,891.92

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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.