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Finding the Fourth Proportional to 7,530.42, 11,305.97 and 3,835.14

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Solution

The fourth proportional to 7,530.42, 11,305.97 and 3,835.14 is: 5,757.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,530.42 : 11,305.97 = 3,835.14 : x
  2. Step 2: Convert to fraction form
    7,530.42/11,305.97 = 3,835.14/x
  3. Step 3: Cross multiply
    7,530.42x = 11,305.97 × 3,835.14
  4. Step 4: Simplify right side
    7,530.42x = 43,359,977.79
  5. Step 5: Solve for x
    x = 43,359,977.79/7,530.42
  6. Step 6: Final answer
    x = 5,757.98

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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.