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Finding the Fourth Proportional to 7,893.63, 11,824.03 and 3,736.96

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Solution

The fourth proportional to 7,893.63, 11,824.03 and 3,736.96 is: 5,597.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,893.63 : 11,824.03 = 3,736.96 : x
  2. Step 2: Convert to fraction form
    7,893.63/11,824.03 = 3,736.96/x
  3. Step 3: Cross multiply
    7,893.63x = 11,824.03 × 3,736.96
  4. Step 4: Simplify right side
    7,893.63x = 44,185,927.15
  5. Step 5: Solve for x
    x = 44,185,927.15/7,893.63
  6. Step 6: Final answer
    x = 5,597.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.