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Finding the Fourth Proportional to 8,179, 12,268.62 and 2,023

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Solution

The fourth proportional to 8,179, 12,268.62 and 2,023 is: 3,034.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,179 : 12,268.62 = 2,023 : x
  2. Step 2: Convert to fraction form
    8,179/12,268.62 = 2,023/x
  3. Step 3: Cross multiply
    8,179x = 12,268.62 × 2,023
  4. Step 4: Simplify right side
    8,179x = 24,819,418.26
  5. Step 5: Solve for x
    x = 24,819,418.26/8,179
  6. Step 6: Final answer
    x = 3,034.53

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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.