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Finding the Fourth Proportional to 8,188.67, 12,284.85 and 2,994.50

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Solution

The fourth proportional to 8,188.67, 12,284.85 and 2,994.50 is: 4,492.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.67 : 12,284.85 = 2,994.50 : x
  2. Step 2: Convert to fraction form
    8,188.67/12,284.85 = 2,994.50/x
  3. Step 3: Cross multiply
    8,188.67x = 12,284.85 × 2,994.50
  4. Step 4: Simplify right side
    8,188.67x = 36,786,983.33
  5. Step 5: Solve for x
    x = 36,786,983.33/8,188.67
  6. Step 6: Final answer
    x = 4,492.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.