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Finding the Fourth Proportional to 10,596.20, 15,906.45 and 6,440.90

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Solution

The fourth proportional to 10,596.20, 15,906.45 and 6,440.90 is: 9,668.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.20 : 15,906.45 = 6,440.90 : x
  2. Step 2: Convert to fraction form
    10,596.20/15,906.45 = 6,440.90/x
  3. Step 3: Cross multiply
    10,596.20x = 15,906.45 × 6,440.90
  4. Step 4: Simplify right side
    10,596.20x = 102,451,853.81
  5. Step 5: Solve for x
    x = 102,451,853.81/10,596.20
  6. Step 6: Final answer
    x = 9,668.74

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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.