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Finding the Fourth Proportional to 10,351.44, 15,524.28 and 4,194

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Solution

The fourth proportional to 10,351.44, 15,524.28 and 4,194 is: 6,289.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,351.44 : 15,524.28 = 4,194 : x
  2. Step 2: Convert to fraction form
    10,351.44/15,524.28 = 4,194/x
  3. Step 3: Cross multiply
    10,351.44x = 15,524.28 × 4,194
  4. Step 4: Simplify right side
    10,351.44x = 65,108,830.32
  5. Step 5: Solve for x
    x = 65,108,830.32/10,351.44
  6. Step 6: Final answer
    x = 6,289.83

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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.