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Finding the Fourth Proportional to 7,137.82, 10,705.83 and 2,207.08

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Solution

The fourth proportional to 7,137.82, 10,705.83 and 2,207.08 is: 3,310.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.82 : 10,705.83 = 2,207.08 : x
  2. Step 2: Convert to fraction form
    7,137.82/10,705.83 = 2,207.08/x
  3. Step 3: Cross multiply
    7,137.82x = 10,705.83 × 2,207.08
  4. Step 4: Simplify right side
    7,137.82x = 23,628,623.28
  5. Step 5: Solve for x
    x = 23,628,623.28/7,137.82
  6. Step 6: Final answer
    x = 3,310.34

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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.