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Finding the Fourth Proportional to 8,633.82, 11,914.38 and 4,857.06

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Solution

The fourth proportional to 8,633.82, 11,914.38 and 4,857.06 is: 6,702.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,633.82 : 11,914.38 = 4,857.06 : x
  2. Step 2: Convert to fraction form
    8,633.82/11,914.38 = 4,857.06/x
  3. Step 3: Cross multiply
    8,633.82x = 11,914.38 × 4,857.06
  4. Step 4: Simplify right side
    8,633.82x = 57,868,858.52
  5. Step 5: Solve for x
    x = 57,868,858.52/8,633.82
  6. Step 6: Final answer
    x = 6,702.58

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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.