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Finding the Fourth Proportional to 7,216.06, 10,824.09 and 1,744.06

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Solution

The fourth proportional to 7,216.06, 10,824.09 and 1,744.06 is: 2,616.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,216.06 : 10,824.09 = 1,744.06 : x
  2. Step 2: Convert to fraction form
    7,216.06/10,824.09 = 1,744.06/x
  3. Step 3: Cross multiply
    7,216.06x = 10,824.09 × 1,744.06
  4. Step 4: Simplify right side
    7,216.06x = 18,877,862.41
  5. Step 5: Solve for x
    x = 18,877,862.41/7,216.06
  6. Step 6: Final answer
    x = 2,616.09

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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.