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Finding the Fourth Proportional to 8,074.84, 12,112.26 and 2,879.50

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Solution

The fourth proportional to 8,074.84, 12,112.26 and 2,879.50 is: 4,319.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,074.84 : 12,112.26 = 2,879.50 : x
  2. Step 2: Convert to fraction form
    8,074.84/12,112.26 = 2,879.50/x
  3. Step 3: Cross multiply
    8,074.84x = 12,112.26 × 2,879.50
  4. Step 4: Simplify right side
    8,074.84x = 34,877,252.67
  5. Step 5: Solve for x
    x = 34,877,252.67/8,074.84
  6. Step 6: Final answer
    x = 4,319.25

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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.