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Finding the Fourth Proportional to 10,042.95, 13,861.21 and 5,796.76

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Solution

The fourth proportional to 10,042.95, 13,861.21 and 5,796.76 is: 8,000.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,042.95 : 13,861.21 = 5,796.76 : x
  2. Step 2: Convert to fraction form
    10,042.95/13,861.21 = 5,796.76/x
  3. Step 3: Cross multiply
    10,042.95x = 13,861.21 × 5,796.76
  4. Step 4: Simplify right side
    10,042.95x = 80,350,107.68
  5. Step 5: Solve for x
    x = 80,350,107.68/10,042.95
  6. Step 6: Final answer
    x = 8,000.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.