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Finding the Fourth Proportional to 8,083, 12,125.04 and 3,466

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Solution

The fourth proportional to 8,083, 12,125.04 and 3,466 is: 5,199.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083 : 12,125.04 = 3,466 : x
  2. Step 2: Convert to fraction form
    8,083/12,125.04 = 3,466/x
  3. Step 3: Cross multiply
    8,083x = 12,125.04 × 3,466
  4. Step 4: Simplify right side
    8,083x = 42,025,388.64
  5. Step 5: Solve for x
    x = 42,025,388.64/8,083
  6. Step 6: Final answer
    x = 5,199.23

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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.