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Finding the Fourth Proportional to 11,571.68, 17,357.34 and 2,806.54

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Solution

The fourth proportional to 11,571.68, 17,357.34 and 2,806.54 is: 4,209.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.68 : 17,357.34 = 2,806.54 : x
  2. Step 2: Convert to fraction form
    11,571.68/17,357.34 = 2,806.54/x
  3. Step 3: Cross multiply
    11,571.68x = 17,357.34 × 2,806.54
  4. Step 4: Simplify right side
    11,571.68x = 48,714,069.00
  5. Step 5: Solve for x
    x = 48,714,069.00/11,571.68
  6. Step 6: Final answer
    x = 4,209.77

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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.