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Finding the Fourth Proportional to 7,605.02, 11,408.73 and 3,222.50

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Solution

The fourth proportional to 7,605.02, 11,408.73 and 3,222.50 is: 4,834.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,605.02 : 11,408.73 = 3,222.50 : x
  2. Step 2: Convert to fraction form
    7,605.02/11,408.73 = 3,222.50/x
  3. Step 3: Cross multiply
    7,605.02x = 11,408.73 × 3,222.50
  4. Step 4: Simplify right side
    7,605.02x = 36,764,632.43
  5. Step 5: Solve for x
    x = 36,764,632.43/7,605.02
  6. Step 6: Final answer
    x = 4,834.26

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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.