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Finding the Fourth Proportional to 10,861.83, 16,294.04 and 3,840.39

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Solution

The fourth proportional to 10,861.83, 16,294.04 and 3,840.39 is: 5,761.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,861.83 : 16,294.04 = 3,840.39 : x
  2. Step 2: Convert to fraction form
    10,861.83/16,294.04 = 3,840.39/x
  3. Step 3: Cross multiply
    10,861.83x = 16,294.04 × 3,840.39
  4. Step 4: Simplify right side
    10,861.83x = 62,575,449.07
  5. Step 5: Solve for x
    x = 62,575,449.07/10,861.83
  6. Step 6: Final answer
    x = 5,761.04

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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.