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Finding the Fourth Proportional to 11,693.96, 17,540.94 and 5,117

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Solution

The fourth proportional to 11,693.96, 17,540.94 and 5,117 is: 7,675.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.96 : 17,540.94 = 5,117 : x
  2. Step 2: Convert to fraction form
    11,693.96/17,540.94 = 5,117/x
  3. Step 3: Cross multiply
    11,693.96x = 17,540.94 × 5,117
  4. Step 4: Simplify right side
    11,693.96x = 89,756,989.98
  5. Step 5: Solve for x
    x = 89,756,989.98/11,693.96
  6. Step 6: Final answer
    x = 7,675.50

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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.