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Finding the Fourth Proportional to 11,439.36, 17,134.74 and 6,506.46

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Solution

The fourth proportional to 11,439.36, 17,134.74 and 6,506.46 is: 9,745.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,439.36 : 17,134.74 = 6,506.46 : x
  2. Step 2: Convert to fraction form
    11,439.36/17,134.74 = 6,506.46/x
  3. Step 3: Cross multiply
    11,439.36x = 17,134.74 × 6,506.46
  4. Step 4: Simplify right side
    11,439.36x = 111,486,500.42
  5. Step 5: Solve for x
    x = 111,486,500.42/11,439.36
  6. Step 6: Final answer
    x = 9,745.87

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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.