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Finding the Fourth Proportional to 10,727.12, 16,097 and 4,486.66

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Solution

The fourth proportional to 10,727.12, 16,097 and 4,486.66 is: 6,732.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,727.12 : 16,097 = 4,486.66 : x
  2. Step 2: Convert to fraction form
    10,727.12/16,097 = 4,486.66/x
  3. Step 3: Cross multiply
    10,727.12x = 16,097 × 4,486.66
  4. Step 4: Simplify right side
    10,727.12x = 72,221,766.02
  5. Step 5: Solve for x
    x = 72,221,766.02/10,727.12
  6. Step 6: Final answer
    x = 6,732.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.