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Finding the Fourth Proportional to 7,729.92, 11,600.96 and 3,116.16

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Solution

The fourth proportional to 7,729.92, 11,600.96 and 3,116.16 is: 4,676.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.92 : 11,600.96 = 3,116.16 : x
  2. Step 2: Convert to fraction form
    7,729.92/11,600.96 = 3,116.16/x
  3. Step 3: Cross multiply
    7,729.92x = 11,600.96 × 3,116.16
  4. Step 4: Simplify right side
    7,729.92x = 36,150,447.51
  5. Step 5: Solve for x
    x = 36,150,447.51/7,729.92
  6. Step 6: Final answer
    x = 4,676.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.