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Finding the Fourth Proportional to 7,144.45, 10,717.70 and 2,214.47

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Solution

The fourth proportional to 7,144.45, 10,717.70 and 2,214.47 is: 3,322.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.45 : 10,717.70 = 2,214.47 : x
  2. Step 2: Convert to fraction form
    7,144.45/10,717.70 = 2,214.47/x
  3. Step 3: Cross multiply
    7,144.45x = 10,717.70 × 2,214.47
  4. Step 4: Simplify right side
    7,144.45x = 23,734,040.84
  5. Step 5: Solve for x
    x = 23,734,040.84/7,144.45
  6. Step 6: Final answer
    x = 3,322.03

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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.