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Finding the Fourth Proportional to 7,144.44, 10,707.75 and 5,507.16

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Solution

The fourth proportional to 7,144.44, 10,707.75 and 5,507.16 is: 8,253.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.44 : 10,707.75 = 5,507.16 : x
  2. Step 2: Convert to fraction form
    7,144.44/10,707.75 = 5,507.16/x
  3. Step 3: Cross multiply
    7,144.44x = 10,707.75 × 5,507.16
  4. Step 4: Simplify right side
    7,144.44x = 58,969,292.49
  5. Step 5: Solve for x
    x = 58,969,292.49/7,144.44
  6. Step 6: Final answer
    x = 8,253.87

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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.