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Finding the Fourth Proportional to 11,958.46, 17,937.70 and 5,717

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Solution

The fourth proportional to 11,958.46, 17,937.70 and 5,717 is: 8,575.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,958.46 : 17,937.70 = 5,717 : x
  2. Step 2: Convert to fraction form
    11,958.46/17,937.70 = 5,717/x
  3. Step 3: Cross multiply
    11,958.46x = 17,937.70 × 5,717
  4. Step 4: Simplify right side
    11,958.46x = 102,549,830.90
  5. Step 5: Solve for x
    x = 102,549,830.90/11,958.46
  6. Step 6: Final answer
    x = 8,575.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.