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Finding the Fourth Proportional to 12,116.98, 16,722.82 and 6,739.96

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Solution

The fourth proportional to 12,116.98, 16,722.82 and 6,739.96 is: 9,301.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,116.98 : 16,722.82 = 6,739.96 : x
  2. Step 2: Convert to fraction form
    12,116.98/16,722.82 = 6,739.96/x
  3. Step 3: Cross multiply
    12,116.98x = 16,722.82 × 6,739.96
  4. Step 4: Simplify right side
    12,116.98x = 112,711,137.89
  5. Step 5: Solve for x
    x = 112,711,137.89/12,116.98
  6. Step 6: Final answer
    x = 9,301.92

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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.