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Finding the Fourth Proportional to 10,286.66, 14,194.88 and 5,810.60

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Solution

The fourth proportional to 10,286.66, 14,194.88 and 5,810.60 is: 8,018.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,286.66 : 14,194.88 = 5,810.60 : x
  2. Step 2: Convert to fraction form
    10,286.66/14,194.88 = 5,810.60/x
  3. Step 3: Cross multiply
    10,286.66x = 14,194.88 × 5,810.60
  4. Step 4: Simplify right side
    10,286.66x = 82,480,769.73
  5. Step 5: Solve for x
    x = 82,480,769.73/10,286.66
  6. Step 6: Final answer
    x = 8,018.23

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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.