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Finding the Fourth Proportional to 11,756.76, 17,613.30 and 5,917.44

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Solution

The fourth proportional to 11,756.76, 17,613.30 and 5,917.44 is: 8,865.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.76 : 17,613.30 = 5,917.44 : x
  2. Step 2: Convert to fraction form
    11,756.76/17,613.30 = 5,917.44/x
  3. Step 3: Cross multiply
    11,756.76x = 17,613.30 × 5,917.44
  4. Step 4: Simplify right side
    11,756.76x = 104,225,645.95
  5. Step 5: Solve for x
    x = 104,225,645.95/11,756.76
  6. Step 6: Final answer
    x = 8,865.17

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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.