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Finding the Fourth Proportional to 11,757.74, 17,643.54 and 4,367.40

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Solution

The fourth proportional to 11,757.74, 17,643.54 and 4,367.40 is: 6,553.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.74 : 17,643.54 = 4,367.40 : x
  2. Step 2: Convert to fraction form
    11,757.74/17,643.54 = 4,367.40/x
  3. Step 3: Cross multiply
    11,757.74x = 17,643.54 × 4,367.40
  4. Step 4: Simplify right side
    11,757.74x = 77,056,396.60
  5. Step 5: Solve for x
    x = 77,056,396.60/11,757.74
  6. Step 6: Final answer
    x = 6,553.67

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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.