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Finding the Fourth Proportional to 8,653.82, 11,935.88 and 5,965.90

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Solution

The fourth proportional to 8,653.82, 11,935.88 and 5,965.90 is: 8,228.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,653.82 : 11,935.88 = 5,965.90 : x
  2. Step 2: Convert to fraction form
    8,653.82/11,935.88 = 5,965.90/x
  3. Step 3: Cross multiply
    8,653.82x = 11,935.88 × 5,965.90
  4. Step 4: Simplify right side
    8,653.82x = 71,208,266.49
  5. Step 5: Solve for x
    x = 71,208,266.49/8,653.82
  6. Step 6: Final answer
    x = 8,228.54

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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.