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Finding the Fourth Proportional to 11,568.74, 15,964.86 and 6,263.56

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Solution

The fourth proportional to 11,568.74, 15,964.86 and 6,263.56 is: 8,643.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,568.74 : 15,964.86 = 6,263.56 : x
  2. Step 2: Convert to fraction form
    11,568.74/15,964.86 = 6,263.56/x
  3. Step 3: Cross multiply
    11,568.74x = 15,964.86 × 6,263.56
  4. Step 4: Simplify right side
    11,568.74x = 99,996,778.68
  5. Step 5: Solve for x
    x = 99,996,778.68/11,568.74
  6. Step 6: Final answer
    x = 8,643.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.