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Finding the Fourth Proportional to 7,867.56, 11,803.23 and 3,486.27

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Solution

The fourth proportional to 7,867.56, 11,803.23 and 3,486.27 is: 5,230.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.56 : 11,803.23 = 3,486.27 : x
  2. Step 2: Convert to fraction form
    7,867.56/11,803.23 = 3,486.27/x
  3. Step 3: Cross multiply
    7,867.56x = 11,803.23 × 3,486.27
  4. Step 4: Simplify right side
    7,867.56x = 41,149,246.65
  5. Step 5: Solve for x
    x = 41,149,246.65/7,867.56
  6. Step 6: Final answer
    x = 5,230.24

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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.