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Finding the Fourth Proportional to 11,643.63, 16,068.33 and 6,338.43

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Solution

The fourth proportional to 11,643.63, 16,068.33 and 6,338.43 is: 8,747.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.63 : 16,068.33 = 6,338.43 : x
  2. Step 2: Convert to fraction form
    11,643.63/16,068.33 = 6,338.43/x
  3. Step 3: Cross multiply
    11,643.63x = 16,068.33 × 6,338.43
  4. Step 4: Simplify right side
    11,643.63x = 101,847,984.92
  5. Step 5: Solve for x
    x = 101,847,984.92/11,643.63
  6. Step 6: Final answer
    x = 8,747.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.