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Finding the Fourth Proportional to 10,201.98, 15,300.81 and 3,274.86

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Solution

The fourth proportional to 10,201.98, 15,300.81 and 3,274.86 is: 4,911.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.98 : 15,300.81 = 3,274.86 : x
  2. Step 2: Convert to fraction form
    10,201.98/15,300.81 = 3,274.86/x
  3. Step 3: Cross multiply
    10,201.98x = 15,300.81 × 3,274.86
  4. Step 4: Simplify right side
    10,201.98x = 50,108,010.64
  5. Step 5: Solve for x
    x = 50,108,010.64/10,201.98
  6. Step 6: Final answer
    x = 4,911.60

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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.