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Finding the Fourth Proportional to 10,616.66, 14,650.62 and 5,900.84

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Solution

The fourth proportional to 10,616.66, 14,650.62 and 5,900.84 is: 8,142.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.66 : 14,650.62 = 5,900.84 : x
  2. Step 2: Convert to fraction form
    10,616.66/14,650.62 = 5,900.84/x
  3. Step 3: Cross multiply
    10,616.66x = 14,650.62 × 5,900.84
  4. Step 4: Simplify right side
    10,616.66x = 86,450,891.27
  5. Step 5: Solve for x
    x = 86,450,891.27/10,616.66
  6. Step 6: Final answer
    x = 8,142.95

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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.