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Finding the Fourth Proportional to 7,331.50, 10,999.07 and 2,137.38

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Solution

The fourth proportional to 7,331.50, 10,999.07 and 2,137.38 is: 3,206.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,331.50 : 10,999.07 = 2,137.38 : x
  2. Step 2: Convert to fraction form
    7,331.50/10,999.07 = 2,137.38/x
  3. Step 3: Cross multiply
    7,331.50x = 10,999.07 × 2,137.38
  4. Step 4: Simplify right side
    7,331.50x = 23,509,192.24
  5. Step 5: Solve for x
    x = 23,509,192.24/7,331.50
  6. Step 6: Final answer
    x = 3,206.60

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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.