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Finding the Fourth Proportional to 11,712.14, 16,162.02 and 6,405.89

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Solution

The fourth proportional to 11,712.14, 16,162.02 and 6,405.89 is: 8,839.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.14 : 16,162.02 = 6,405.89 : x
  2. Step 2: Convert to fraction form
    11,712.14/16,162.02 = 6,405.89/x
  3. Step 3: Cross multiply
    11,712.14x = 16,162.02 × 6,405.89
  4. Step 4: Simplify right side
    11,712.14x = 103,532,122.30
  5. Step 5: Solve for x
    x = 103,532,122.30/11,712.14
  6. Step 6: Final answer
    x = 8,839.73

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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.