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Finding the Fourth Proportional to 11,568.61, 15,964.73 and 6,263.38

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Solution

The fourth proportional to 11,568.61, 15,964.73 and 6,263.38 is: 8,643.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,568.61 : 15,964.73 = 6,263.38 : x
  2. Step 2: Convert to fraction form
    11,568.61/15,964.73 = 6,263.38/x
  3. Step 3: Cross multiply
    11,568.61x = 15,964.73 × 6,263.38
  4. Step 4: Simplify right side
    11,568.61x = 99,993,170.59
  5. Step 5: Solve for x
    x = 99,993,170.59/11,568.61
  6. Step 6: Final answer
    x = 8,643.49

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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.