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Finding the Fourth Proportional to 11,679.98, 16,115.64 and 6,643.04

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Solution

The fourth proportional to 11,679.98, 16,115.64 and 6,643.04 is: 9,165.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,679.98 : 16,115.64 = 6,643.04 : x
  2. Step 2: Convert to fraction form
    11,679.98/16,115.64 = 6,643.04/x
  3. Step 3: Cross multiply
    11,679.98x = 16,115.64 × 6,643.04
  4. Step 4: Simplify right side
    11,679.98x = 107,056,841.15
  5. Step 5: Solve for x
    x = 107,056,841.15/11,679.98
  6. Step 6: Final answer
    x = 9,165.84

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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.