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Finding the Fourth Proportional to 11,571.95, 17,351.94 and 5,649.11

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Solution

The fourth proportional to 11,571.95, 17,351.94 and 5,649.11 is: 8,470.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.95 : 17,351.94 = 5,649.11 : x
  2. Step 2: Convert to fraction form
    11,571.95/17,351.94 = 5,649.11/x
  3. Step 3: Cross multiply
    11,571.95x = 17,351.94 × 5,649.11
  4. Step 4: Simplify right side
    11,571.95x = 98,022,985.49
  5. Step 5: Solve for x
    x = 98,022,985.49/11,571.95
  6. Step 6: Final answer
    x = 8,470.74

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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.