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Finding the Fourth Proportional to 7,527.44, 11,298.04 and 3,832.22

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Solution

The fourth proportional to 7,527.44, 11,298.04 and 3,832.22 is: 5,751.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,527.44 : 11,298.04 = 3,832.22 : x
  2. Step 2: Convert to fraction form
    7,527.44/11,298.04 = 3,832.22/x
  3. Step 3: Cross multiply
    7,527.44x = 11,298.04 × 3,832.22
  4. Step 4: Simplify right side
    7,527.44x = 43,296,574.85
  5. Step 5: Solve for x
    x = 43,296,574.85/7,527.44
  6. Step 6: Final answer
    x = 5,751.83

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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.