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Finding the Fourth Proportional to 10,469.87, 15,707.85 and 4,226.69

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Solution

The fourth proportional to 10,469.87, 15,707.85 and 4,226.69 is: 6,341.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.87 : 15,707.85 = 4,226.69 : x
  2. Step 2: Convert to fraction form
    10,469.87/15,707.85 = 4,226.69/x
  3. Step 3: Cross multiply
    10,469.87x = 15,707.85 × 4,226.69
  4. Step 4: Simplify right side
    10,469.87x = 66,392,133.98
  5. Step 5: Solve for x
    x = 66,392,133.98/10,469.87
  6. Step 6: Final answer
    x = 6,341.26

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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.