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Finding the Fourth Proportional to 6,690.50, 10,035.84 and 3,180.86

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Solution

The fourth proportional to 6,690.50, 10,035.84 and 3,180.86 is: 4,771.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,690.50 : 10,035.84 = 3,180.86 : x
  2. Step 2: Convert to fraction form
    6,690.50/10,035.84 = 3,180.86/x
  3. Step 3: Cross multiply
    6,690.50x = 10,035.84 × 3,180.86
  4. Step 4: Simplify right side
    6,690.50x = 31,922,551.84
  5. Step 5: Solve for x
    x = 31,922,551.84/6,690.50
  6. Step 6: Final answer
    x = 4,771.33

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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.