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Finding the Fourth Proportional to 7,216.96, 10,826 and 2,286.88

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Solution

The fourth proportional to 7,216.96, 10,826 and 2,286.88 is: 3,430.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,216.96 : 10,826 = 2,286.88 : x
  2. Step 2: Convert to fraction form
    7,216.96/10,826 = 2,286.88/x
  3. Step 3: Cross multiply
    7,216.96x = 10,826 × 2,286.88
  4. Step 4: Simplify right side
    7,216.96x = 24,757,762.88
  5. Step 5: Solve for x
    x = 24,757,762.88/7,216.96
  6. Step 6: Final answer
    x = 3,430.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.