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Finding the Fourth Proportional to 6,861.95, 10,294.52 and 3,528.94

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Solution

The fourth proportional to 6,861.95, 10,294.52 and 3,528.94 is: 5,294.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.95 : 10,294.52 = 3,528.94 : x
  2. Step 2: Convert to fraction form
    6,861.95/10,294.52 = 3,528.94/x
  3. Step 3: Cross multiply
    6,861.95x = 10,294.52 × 3,528.94
  4. Step 4: Simplify right side
    6,861.95x = 36,328,743.41
  5. Step 5: Solve for x
    x = 36,328,743.41/6,861.95
  6. Step 6: Final answer
    x = 5,294.23

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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.