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Finding the Fourth Proportional to 10,425.84, 15,629.04 and 3,850.26

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Solution

The fourth proportional to 10,425.84, 15,629.04 and 3,850.26 is: 5,771.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,425.84 : 15,629.04 = 3,850.26 : x
  2. Step 2: Convert to fraction form
    10,425.84/15,629.04 = 3,850.26/x
  3. Step 3: Cross multiply
    10,425.84x = 15,629.04 × 3,850.26
  4. Step 4: Simplify right side
    10,425.84x = 60,175,867.55
  5. Step 5: Solve for x
    x = 60,175,867.55/10,425.84
  6. Step 6: Final answer
    x = 5,771.80

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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.