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Finding the Fourth Proportional to 11,568.38, 15,964.44 and 6,263.21

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Solution

The fourth proportional to 11,568.38, 15,964.44 and 6,263.21 is: 8,643.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,568.38 : 15,964.44 = 6,263.21 : x
  2. Step 2: Convert to fraction form
    11,568.38/15,964.44 = 6,263.21/x
  3. Step 3: Cross multiply
    11,568.38x = 15,964.44 × 6,263.21
  4. Step 4: Simplify right side
    11,568.38x = 99,988,560.43
  5. Step 5: Solve for x
    x = 99,988,560.43/11,568.38
  6. Step 6: Final answer
    x = 8,643.27

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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.