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Finding the Fourth Proportional to 11,568.73, 15,964.82 and 6,263.54

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Solution

The fourth proportional to 11,568.73, 15,964.82 and 6,263.54 is: 8,643.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,568.73 : 15,964.82 = 6,263.54 : x
  2. Step 2: Convert to fraction form
    11,568.73/15,964.82 = 6,263.54/x
  3. Step 3: Cross multiply
    11,568.73x = 15,964.82 × 6,263.54
  4. Step 4: Simplify right side
    11,568.73x = 99,996,288.66
  5. Step 5: Solve for x
    x = 99,996,288.66/11,568.73
  6. Step 6: Final answer
    x = 8,643.67

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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.