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Finding the Fourth Proportional to 10,141.53, 15,213.51 and 3,900.09

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Solution

The fourth proportional to 10,141.53, 15,213.51 and 3,900.09 is: 5,850.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,141.53 : 15,213.51 = 3,900.09 : x
  2. Step 2: Convert to fraction form
    10,141.53/15,213.51 = 3,900.09/x
  3. Step 3: Cross multiply
    10,141.53x = 15,213.51 × 3,900.09
  4. Step 4: Simplify right side
    10,141.53x = 59,334,058.22
  5. Step 5: Solve for x
    x = 59,334,058.22/10,141.53
  6. Step 6: Final answer
    x = 5,850.60

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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.