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Finding the Fourth Proportional to 7,233.61, 10,846.83 and 2,302.61

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Solution

The fourth proportional to 7,233.61, 10,846.83 and 2,302.61 is: 3,452.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,233.61 : 10,846.83 = 2,302.61 : x
  2. Step 2: Convert to fraction form
    7,233.61/10,846.83 = 2,302.61/x
  3. Step 3: Cross multiply
    7,233.61x = 10,846.83 × 2,302.61
  4. Step 4: Simplify right side
    7,233.61x = 24,976,033.50
  5. Step 5: Solve for x
    x = 24,976,033.50/7,233.61
  6. Step 6: Final answer
    x = 3,452.77

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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.