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Finding the Fourth Proportional to 7,233.63, 10,850.46 and 2,039.50

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Solution

The fourth proportional to 7,233.63, 10,850.46 and 2,039.50 is: 3,059.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,233.63 : 10,850.46 = 2,039.50 : x
  2. Step 2: Convert to fraction form
    7,233.63/10,850.46 = 2,039.50/x
  3. Step 3: Cross multiply
    7,233.63x = 10,850.46 × 2,039.50
  4. Step 4: Simplify right side
    7,233.63x = 22,129,513.17
  5. Step 5: Solve for x
    x = 22,129,513.17/7,233.63
  6. Step 6: Final answer
    x = 3,059.25

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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.