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Finding the Fourth Proportional to 8,201.10, 12,301.65 and 5,576.70

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Solution

The fourth proportional to 8,201.10, 12,301.65 and 5,576.70 is: 8,365.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.10 : 12,301.65 = 5,576.70 : x
  2. Step 2: Convert to fraction form
    8,201.10/12,301.65 = 5,576.70/x
  3. Step 3: Cross multiply
    8,201.10x = 12,301.65 × 5,576.70
  4. Step 4: Simplify right side
    8,201.10x = 68,602,611.56
  5. Step 5: Solve for x
    x = 68,602,611.56/8,201.10
  6. Step 6: Final answer
    x = 8,365.05

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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.