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Finding the Fourth Proportional to 10,311.51, 14,229.72 and 5,836.14

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Solution

The fourth proportional to 10,311.51, 14,229.72 and 5,836.14 is: 8,053.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,311.51 : 14,229.72 = 5,836.14 : x
  2. Step 2: Convert to fraction form
    10,311.51/14,229.72 = 5,836.14/x
  3. Step 3: Cross multiply
    10,311.51x = 14,229.72 × 5,836.14
  4. Step 4: Simplify right side
    10,311.51x = 83,046,566.93
  5. Step 5: Solve for x
    x = 83,046,566.93/10,311.51
  6. Step 6: Final answer
    x = 8,053.78

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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.