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Finding the Fourth Proportional to 7,867.65, 11,803.21 and 2,604.30

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Solution

The fourth proportional to 7,867.65, 11,803.21 and 2,604.30 is: 3,907.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.65 : 11,803.21 = 2,604.30 : x
  2. Step 2: Convert to fraction form
    7,867.65/11,803.21 = 2,604.30/x
  3. Step 3: Cross multiply
    7,867.65x = 11,803.21 × 2,604.30
  4. Step 4: Simplify right side
    7,867.65x = 30,739,099.80
  5. Step 5: Solve for x
    x = 30,739,099.80/7,867.65
  6. Step 6: Final answer
    x = 3,907.02

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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.