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Finding the Fourth Proportional to 6,784.50, 10,169.76 and 3,856.62

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Solution

The fourth proportional to 6,784.50, 10,169.76 and 3,856.62 is: 5,780.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.50 : 10,169.76 = 3,856.62 : x
  2. Step 2: Convert to fraction form
    6,784.50/10,169.76 = 3,856.62/x
  3. Step 3: Cross multiply
    6,784.50x = 10,169.76 × 3,856.62
  4. Step 4: Simplify right side
    6,784.50x = 39,220,899.81
  5. Step 5: Solve for x
    x = 39,220,899.81/6,784.50
  6. Step 6: Final answer
    x = 5,780.96

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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.