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Finding the Fourth Proportional to 10,090.86, 15,138.72 and 3,517.31

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Solution

The fourth proportional to 10,090.86, 15,138.72 and 3,517.31 is: 5,276.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,090.86 : 15,138.72 = 3,517.31 : x
  2. Step 2: Convert to fraction form
    10,090.86/15,138.72 = 3,517.31/x
  3. Step 3: Cross multiply
    10,090.86x = 15,138.72 × 3,517.31
  4. Step 4: Simplify right side
    10,090.86x = 53,247,495.55
  5. Step 5: Solve for x
    x = 53,247,495.55/10,090.86
  6. Step 6: Final answer
    x = 5,276.80

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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.