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Finding the Fourth Proportional to 7,846.75, 11,771.58 and 2,582.05

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Solution

The fourth proportional to 7,846.75, 11,771.58 and 2,582.05 is: 3,873.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.75 : 11,771.58 = 2,582.05 : x
  2. Step 2: Convert to fraction form
    7,846.75/11,771.58 = 2,582.05/x
  3. Step 3: Cross multiply
    7,846.75x = 11,771.58 × 2,582.05
  4. Step 4: Simplify right side
    7,846.75x = 30,394,808.14
  5. Step 5: Solve for x
    x = 30,394,808.14/7,846.75
  6. Step 6: Final answer
    x = 3,873.55

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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.