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Finding the Fourth Proportional to 8,183.16, 12,278.88 and 4,023

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Solution

The fourth proportional to 8,183.16, 12,278.88 and 4,023 is: 6,036.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183.16 : 12,278.88 = 4,023 : x
  2. Step 2: Convert to fraction form
    8,183.16/12,278.88 = 4,023/x
  3. Step 3: Cross multiply
    8,183.16x = 12,278.88 × 4,023
  4. Step 4: Simplify right side
    8,183.16x = 49,397,934.24
  5. Step 5: Solve for x
    x = 49,397,934.24/8,183.16
  6. Step 6: Final answer
    x = 6,036.54

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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.