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Finding the Fourth Proportional to 10,400.32, 15,611.28 and 6,961.60

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Solution

The fourth proportional to 10,400.32, 15,611.28 and 6,961.60 is: 10,449.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400.32 : 15,611.28 = 6,961.60 : x
  2. Step 2: Convert to fraction form
    10,400.32/15,611.28 = 6,961.60/x
  3. Step 3: Cross multiply
    10,400.32x = 15,611.28 × 6,961.60
  4. Step 4: Simplify right side
    10,400.32x = 108,679,486.85
  5. Step 5: Solve for x
    x = 108,679,486.85/10,400.32
  6. Step 6: Final answer
    x = 10,449.63

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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.