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Finding the Fourth Proportional to 7,689.21, 10,611.16 and 4,331.70

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Solution

The fourth proportional to 7,689.21, 10,611.16 and 4,331.70 is: 5,977.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689.21 : 10,611.16 = 4,331.70 : x
  2. Step 2: Convert to fraction form
    7,689.21/10,611.16 = 4,331.70/x
  3. Step 3: Cross multiply
    7,689.21x = 10,611.16 × 4,331.70
  4. Step 4: Simplify right side
    7,689.21x = 45,964,350.94
  5. Step 5: Solve for x
    x = 45,964,350.94/7,689.21
  6. Step 6: Final answer
    x = 5,977.78

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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.