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Finding the Fourth Proportional to 10,821.78, 16,234.88 and 4,158

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Solution

The fourth proportional to 10,821.78, 16,234.88 and 4,158 is: 6,237.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,821.78 : 16,234.88 = 4,158 : x
  2. Step 2: Convert to fraction form
    10,821.78/16,234.88 = 4,158/x
  3. Step 3: Cross multiply
    10,821.78x = 16,234.88 × 4,158
  4. Step 4: Simplify right side
    10,821.78x = 67,504,610.25
  5. Step 5: Solve for x
    x = 67,504,610.25/10,821.78
  6. Step 6: Final answer
    x = 6,237.85

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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.