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Finding the Fourth Proportional to 7,738.88, 11,611.20 and 3,632

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Solution

The fourth proportional to 7,738.88, 11,611.20 and 3,632 is: 5,449.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738.88 : 11,611.20 = 3,632 : x
  2. Step 2: Convert to fraction form
    7,738.88/11,611.20 = 3,632/x
  3. Step 3: Cross multiply
    7,738.88x = 11,611.20 × 3,632
  4. Step 4: Simplify right side
    7,738.88x = 42,171,878.40
  5. Step 5: Solve for x
    x = 42,171,878.40/7,738.88
  6. Step 6: Final answer
    x = 5,449.35

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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.