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Finding the Fourth Proportional to 10,050.86, 13,861.10 and 6,274.37

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Solution

The fourth proportional to 10,050.86, 13,861.10 and 6,274.37 is: 8,652.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,050.86 : 13,861.10 = 6,274.37 : x
  2. Step 2: Convert to fraction form
    10,050.86/13,861.10 = 6,274.37/x
  3. Step 3: Cross multiply
    10,050.86x = 13,861.10 × 6,274.37
  4. Step 4: Simplify right side
    10,050.86x = 86,969,676.95
  5. Step 5: Solve for x
    x = 86,969,676.95/10,050.86
  6. Step 6: Final answer
    x = 8,652.96

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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.