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Finding the Fourth Proportional to 11,756.66, 17,636.00 and 3,856.80

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Solution

The fourth proportional to 11,756.66, 17,636.00 and 3,856.80 is: 5,785.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.66 : 17,636.00 = 3,856.80 : x
  2. Step 2: Convert to fraction form
    11,756.66/17,636.00 = 3,856.80/x
  3. Step 3: Cross multiply
    11,756.66x = 17,636.00 × 3,856.80
  4. Step 4: Simplify right side
    11,756.66x = 68,018,534.44
  5. Step 5: Solve for x
    x = 68,018,534.44/11,756.66
  6. Step 6: Final answer
    x = 5,785.53

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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.