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Finding the Fourth Proportional to 7,660.72, 11,489.18 and 2,113.82

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Solution

The fourth proportional to 7,660.72, 11,489.18 and 2,113.82 is: 3,170.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,660.72 : 11,489.18 = 2,113.82 : x
  2. Step 2: Convert to fraction form
    7,660.72/11,489.18 = 2,113.82/x
  3. Step 3: Cross multiply
    7,660.72x = 11,489.18 × 2,113.82
  4. Step 4: Simplify right side
    7,660.72x = 24,286,058.47
  5. Step 5: Solve for x
    x = 24,286,058.47/7,660.72
  6. Step 6: Final answer
    x = 3,170.21

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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.