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Finding the Fourth Proportional to 11,678.85, 16,116.84 and 6,642.96

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Solution

The fourth proportional to 11,678.85, 16,116.84 and 6,642.96 is: 9,167.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,678.85 : 16,116.84 = 6,642.96 : x
  2. Step 2: Convert to fraction form
    11,678.85/16,116.84 = 6,642.96/x
  3. Step 3: Cross multiply
    11,678.85x = 16,116.84 × 6,642.96
  4. Step 4: Simplify right side
    11,678.85x = 107,063,523.45
  5. Step 5: Solve for x
    x = 107,063,523.45/11,678.85
  6. Step 6: Final answer
    x = 9,167.30

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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.