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Finding the Fourth Proportional to 11,201.14, 16,801.15 and 4,180.62

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Solution

The fourth proportional to 11,201.14, 16,801.15 and 4,180.62 is: 6,270.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,201.14 : 16,801.15 = 4,180.62 : x
  2. Step 2: Convert to fraction form
    11,201.14/16,801.15 = 4,180.62/x
  3. Step 3: Cross multiply
    11,201.14x = 16,801.15 × 4,180.62
  4. Step 4: Simplify right side
    11,201.14x = 70,239,223.71
  5. Step 5: Solve for x
    x = 70,239,223.71/11,201.14
  6. Step 6: Final answer
    x = 6,270.72

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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.