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Finding the Fourth Proportional to 10,450.86, 15,682.42 and 3,881.60

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Solution

The fourth proportional to 10,450.86, 15,682.42 and 3,881.60 is: 5,824.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,450.86 : 15,682.42 = 3,881.60 : x
  2. Step 2: Convert to fraction form
    10,450.86/15,682.42 = 3,881.60/x
  3. Step 3: Cross multiply
    10,450.86x = 15,682.42 × 3,881.60
  4. Step 4: Simplify right side
    10,450.86x = 60,872,881.47
  5. Step 5: Solve for x
    x = 60,872,881.47/10,450.86
  6. Step 6: Final answer
    x = 5,824.68

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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.