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Finding the Fourth Proportional to 7,119.50, 10,684.71 and 3,226.64

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Solution

The fourth proportional to 7,119.50, 10,684.71 and 3,226.64 is: 4,842.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,119.50 : 10,684.71 = 3,226.64 : x
  2. Step 2: Convert to fraction form
    7,119.50/10,684.71 = 3,226.64/x
  3. Step 3: Cross multiply
    7,119.50x = 10,684.71 × 3,226.64
  4. Step 4: Simplify right side
    7,119.50x = 34,475,659.25
  5. Step 5: Solve for x
    x = 34,475,659.25/7,119.50
  6. Step 6: Final answer
    x = 4,842.43

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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.