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Finding the Fourth Proportional to 7,119.96, 10,680.11 and 2,189.63

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Solution

The fourth proportional to 7,119.96, 10,680.11 and 2,189.63 is: 3,284.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,119.96 : 10,680.11 = 2,189.63 : x
  2. Step 2: Convert to fraction form
    7,119.96/10,680.11 = 2,189.63/x
  3. Step 3: Cross multiply
    7,119.96x = 10,680.11 × 2,189.63
  4. Step 4: Simplify right side
    7,119.96x = 23,385,513.22
  5. Step 5: Solve for x
    x = 23,385,513.22/7,119.96
  6. Step 6: Final answer
    x = 3,284.50

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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.