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Finding the Fourth Proportional to 11,571.14, 17,356.71 and 2,806.05

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Solution

The fourth proportional to 11,571.14, 17,356.71 and 2,806.05 is: 4,209.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.14 : 17,356.71 = 2,806.05 : x
  2. Step 2: Convert to fraction form
    11,571.14/17,356.71 = 2,806.05/x
  3. Step 3: Cross multiply
    11,571.14x = 17,356.71 × 2,806.05
  4. Step 4: Simplify right side
    11,571.14x = 48,703,871.71
  5. Step 5: Solve for x
    x = 48,703,871.71/11,571.14
  6. Step 6: Final answer
    x = 4,209.08

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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.