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Finding the Fourth Proportional to 11,756.99, 17,624.14 and 3,961.55

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Solution

The fourth proportional to 11,756.99, 17,624.14 and 3,961.55 is: 5,938.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.99 : 17,624.14 = 3,961.55 : x
  2. Step 2: Convert to fraction form
    11,756.99/17,624.14 = 3,961.55/x
  3. Step 3: Cross multiply
    11,756.99x = 17,624.14 × 3,961.55
  4. Step 4: Simplify right side
    11,756.99x = 69,818,911.82
  5. Step 5: Solve for x
    x = 69,818,911.82/11,756.99
  6. Step 6: Final answer
    x = 5,938.50

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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.