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Finding the Fourth Proportional to 10,216.79, 14,105.63 and 6,685.97

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Solution

The fourth proportional to 10,216.79, 14,105.63 and 6,685.97 is: 9,230.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,216.79 : 14,105.63 = 6,685.97 : x
  2. Step 2: Convert to fraction form
    10,216.79/14,105.63 = 6,685.97/x
  3. Step 3: Cross multiply
    10,216.79x = 14,105.63 × 6,685.97
  4. Step 4: Simplify right side
    10,216.79x = 94,309,785.58
  5. Step 5: Solve for x
    x = 94,309,785.58/10,216.79
  6. Step 6: Final answer
    x = 9,230.86

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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.