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Finding the Fourth Proportional to 11,572.27, 17,358.43 and 4,181.95

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Solution

The fourth proportional to 11,572.27, 17,358.43 and 4,181.95 is: 6,272.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572.27 : 17,358.43 = 4,181.95 : x
  2. Step 2: Convert to fraction form
    11,572.27/17,358.43 = 4,181.95/x
  3. Step 3: Cross multiply
    11,572.27x = 17,358.43 × 4,181.95
  4. Step 4: Simplify right side
    11,572.27x = 72,591,996.02
  5. Step 5: Solve for x
    x = 72,591,996.02/11,572.27
  6. Step 6: Final answer
    x = 6,272.93

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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.