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Finding the Fourth Proportional to 10,616.30, 14,650.57 and 5,836.33

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Solution

The fourth proportional to 10,616.30, 14,650.57 and 5,836.33 is: 8,054.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.30 : 14,650.57 = 5,836.33 : x
  2. Step 2: Convert to fraction form
    10,616.30/14,650.57 = 5,836.33/x
  3. Step 3: Cross multiply
    10,616.30x = 14,650.57 × 5,836.33
  4. Step 4: Simplify right side
    10,616.30x = 85,505,561.21
  5. Step 5: Solve for x
    x = 85,505,561.21/10,616.30
  6. Step 6: Final answer
    x = 8,054.18

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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.