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Finding the Fourth Proportional to 11,536.75, 17,306.34 and 5,295.70

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Solution

The fourth proportional to 11,536.75, 17,306.34 and 5,295.70 is: 7,944.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,536.75 : 17,306.34 = 5,295.70 : x
  2. Step 2: Convert to fraction form
    11,536.75/17,306.34 = 5,295.70/x
  3. Step 3: Cross multiply
    11,536.75x = 17,306.34 × 5,295.70
  4. Step 4: Simplify right side
    11,536.75x = 91,649,184.74
  5. Step 5: Solve for x
    x = 91,649,184.74/11,536.75
  6. Step 6: Final answer
    x = 7,944.11

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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.