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Finding the Fourth Proportional to 11,571.40, 17,357.10 and 2,806.30

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Solution

The fourth proportional to 11,571.40, 17,357.10 and 2,806.30 is: 4,209.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.40 : 17,357.10 = 2,806.30 : x
  2. Step 2: Convert to fraction form
    11,571.40/17,357.10 = 2,806.30/x
  3. Step 3: Cross multiply
    11,571.40x = 17,357.10 × 2,806.30
  4. Step 4: Simplify right side
    11,571.40x = 48,709,229.73
  5. Step 5: Solve for x
    x = 48,709,229.73/11,571.40
  6. Step 6: Final answer
    x = 4,209.45

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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.