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Finding the Fourth Proportional to 10,234.76, 14,125.19 and 6,256.44

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Solution

The fourth proportional to 10,234.76, 14,125.19 and 6,256.44 is: 8,634.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234.76 : 14,125.19 = 6,256.44 : x
  2. Step 2: Convert to fraction form
    10,234.76/14,125.19 = 6,256.44/x
  3. Step 3: Cross multiply
    10,234.76x = 14,125.19 × 6,256.44
  4. Step 4: Simplify right side
    10,234.76x = 88,373,372.44
  5. Step 5: Solve for x
    x = 88,373,372.44/10,234.76
  6. Step 6: Final answer
    x = 8,634.63

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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.