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Finding the Fourth Proportional to 10,407.88, 15,611.34 and 3,833.62

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Solution

The fourth proportional to 10,407.88, 15,611.34 and 3,833.62 is: 5,750.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407.88 : 15,611.34 = 3,833.62 : x
  2. Step 2: Convert to fraction form
    10,407.88/15,611.34 = 3,833.62/x
  3. Step 3: Cross multiply
    10,407.88x = 15,611.34 × 3,833.62
  4. Step 4: Simplify right side
    10,407.88x = 59,847,945.25
  5. Step 5: Solve for x
    x = 59,847,945.25/10,407.88
  6. Step 6: Final answer
    x = 5,750.25

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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.