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Finding the Fourth Proportional to 7,883.94, 11,827.95 and 3,500.34

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Solution

The fourth proportional to 7,883.94, 11,827.95 and 3,500.34 is: 5,251.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883.94 : 11,827.95 = 3,500.34 : x
  2. Step 2: Convert to fraction form
    7,883.94/11,827.95 = 3,500.34/x
  3. Step 3: Cross multiply
    7,883.94x = 11,827.95 × 3,500.34
  4. Step 4: Simplify right side
    7,883.94x = 41,401,846.50
  5. Step 5: Solve for x
    x = 41,401,846.50/7,883.94
  6. Step 6: Final answer
    x = 5,251.42

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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.