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Finding the Fourth Proportional to 7,544.34, 11,322.24 and 3,849.69

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Solution

The fourth proportional to 7,544.34, 11,322.24 and 3,849.69 is: 5,777.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544.34 : 11,322.24 = 3,849.69 : x
  2. Step 2: Convert to fraction form
    7,544.34/11,322.24 = 3,849.69/x
  3. Step 3: Cross multiply
    7,544.34x = 11,322.24 × 3,849.69
  4. Step 4: Simplify right side
    7,544.34x = 43,587,114.11
  5. Step 5: Solve for x
    x = 43,587,114.11/7,544.34
  6. Step 6: Final answer
    x = 5,777.46

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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.