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Finding the Fourth Proportional to 10,817.12, 16,222.44 and 3,890

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Solution

The fourth proportional to 10,817.12, 16,222.44 and 3,890 is: 5,833.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,817.12 : 16,222.44 = 3,890 : x
  2. Step 2: Convert to fraction form
    10,817.12/16,222.44 = 3,890/x
  3. Step 3: Cross multiply
    10,817.12x = 16,222.44 × 3,890
  4. Step 4: Simplify right side
    10,817.12x = 63,105,291.60
  5. Step 5: Solve for x
    x = 63,105,291.60/10,817.12
  6. Step 6: Final answer
    x = 5,833.83

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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.