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Finding the Fourth Proportional to 11,910.68, 16,442.16 and 7,663.76

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Solution

The fourth proportional to 11,910.68, 16,442.16 and 7,663.76 is: 10,579.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,910.68 : 16,442.16 = 7,663.76 : x
  2. Step 2: Convert to fraction form
    11,910.68/16,442.16 = 7,663.76/x
  3. Step 3: Cross multiply
    11,910.68x = 16,442.16 × 7,663.76
  4. Step 4: Simplify right side
    11,910.68x = 126,008,768.12
  5. Step 5: Solve for x
    x = 126,008,768.12/11,910.68
  6. Step 6: Final answer
    x = 10,579.48

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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.