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Finding the Fourth Proportional to 11,643.75, 16,068.38 and 6,338.25

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Solution

The fourth proportional to 11,643.75, 16,068.38 and 6,338.25 is: 8,746.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.75 : 16,068.38 = 6,338.25 : x
  2. Step 2: Convert to fraction form
    11,643.75/16,068.38 = 6,338.25/x
  3. Step 3: Cross multiply
    11,643.75x = 16,068.38 × 6,338.25
  4. Step 4: Simplify right side
    11,643.75x = 101,845,377.84
  5. Step 5: Solve for x
    x = 101,845,377.84/11,643.75
  6. Step 6: Final answer
    x = 8,746.79

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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.