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Finding the Fourth Proportional to 8,514.24, 12,774.60 and 3,894

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Solution

The fourth proportional to 8,514.24, 12,774.60 and 3,894 is: 5,842.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.24 : 12,774.60 = 3,894 : x
  2. Step 2: Convert to fraction form
    8,514.24/12,774.60 = 3,894/x
  3. Step 3: Cross multiply
    8,514.24x = 12,774.60 × 3,894
  4. Step 4: Simplify right side
    8,514.24x = 49,744,292.40
  5. Step 5: Solve for x
    x = 49,744,292.40/8,514.24
  6. Step 6: Final answer
    x = 5,842.48

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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.