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Finding the Fourth Proportional to 7,280.43, 10,920.69 and 2,086.32

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Solution

The fourth proportional to 7,280.43, 10,920.69 and 2,086.32 is: 3,129.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,280.43 : 10,920.69 = 2,086.32 : x
  2. Step 2: Convert to fraction form
    7,280.43/10,920.69 = 2,086.32/x
  3. Step 3: Cross multiply
    7,280.43x = 10,920.69 × 2,086.32
  4. Step 4: Simplify right side
    7,280.43x = 22,784,053.96
  5. Step 5: Solve for x
    x = 22,784,053.96/7,280.43
  6. Step 6: Final answer
    x = 3,129.49

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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.