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Finding the Fourth Proportional to 7,119.52, 10,680.81 and 2,189.50

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Solution

The fourth proportional to 7,119.52, 10,680.81 and 2,189.50 is: 3,284.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,119.52 : 10,680.81 = 2,189.50 : x
  2. Step 2: Convert to fraction form
    7,119.52/10,680.81 = 2,189.50/x
  3. Step 3: Cross multiply
    7,119.52x = 10,680.81 × 2,189.50
  4. Step 4: Simplify right side
    7,119.52x = 23,385,633.50
  5. Step 5: Solve for x
    x = 23,385,633.50/7,119.52
  6. Step 6: Final answer
    x = 3,284.72

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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.