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Finding the Fourth Proportional to 10,615.94, 14,650.19 and 5,836.09

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Solution

The fourth proportional to 10,615.94, 14,650.19 and 5,836.09 is: 8,053.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.94 : 14,650.19 = 5,836.09 : x
  2. Step 2: Convert to fraction form
    10,615.94/14,650.19 = 5,836.09/x
  3. Step 3: Cross multiply
    10,615.94x = 14,650.19 × 5,836.09
  4. Step 4: Simplify right side
    10,615.94x = 85,499,757.39
  5. Step 5: Solve for x
    x = 85,499,757.39/10,615.94
  6. Step 6: Final answer
    x = 8,053.90

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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.