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Finding the Fourth Proportional to 12,116.44, 16,718.97 and 6,738.45

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Solution

The fourth proportional to 12,116.44, 16,718.97 and 6,738.45 is: 9,298.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,116.44 : 16,718.97 = 6,738.45 : x
  2. Step 2: Convert to fraction form
    12,116.44/16,718.97 = 6,738.45/x
  3. Step 3: Cross multiply
    12,116.44x = 16,718.97 × 6,738.45
  4. Step 4: Simplify right side
    12,116.44x = 112,659,943.40
  5. Step 5: Solve for x
    x = 112,659,943.40/12,116.44
  6. Step 6: Final answer
    x = 9,298.11

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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.