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Finding the Fourth Proportional to 7,233.42, 10,846.53 and 3,334.50

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Solution

The fourth proportional to 7,233.42, 10,846.53 and 3,334.50 is: 5,000.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,233.42 : 10,846.53 = 3,334.50 : x
  2. Step 2: Convert to fraction form
    7,233.42/10,846.53 = 3,334.50/x
  3. Step 3: Cross multiply
    7,233.42x = 10,846.53 × 3,334.50
  4. Step 4: Simplify right side
    7,233.42x = 36,167,754.29
  5. Step 5: Solve for x
    x = 36,167,754.29/7,233.42
  6. Step 6: Final answer
    x = 5,000.09

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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.