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Finding the Fourth Proportional to 11,744.30, 16,206.84 and 6,708.53

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Solution

The fourth proportional to 11,744.30, 16,206.84 and 6,708.53 is: 9,257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.30 : 16,206.84 = 6,708.53 : x
  2. Step 2: Convert to fraction form
    11,744.30/16,206.84 = 6,708.53/x
  3. Step 3: Cross multiply
    11,744.30x = 16,206.84 × 6,708.53
  4. Step 4: Simplify right side
    11,744.30x = 108,723,991.31
  5. Step 5: Solve for x
    x = 108,723,991.31/11,744.30
  6. Step 6: Final answer
    x = 9,257.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.