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Finding the Fourth Proportional to 8,301.44, 11,450.67 and 4,941.77

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Solution

The fourth proportional to 8,301.44, 11,450.67 and 4,941.77 is: 6,816.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,301.44 : 11,450.67 = 4,941.77 : x
  2. Step 2: Convert to fraction form
    8,301.44/11,450.67 = 4,941.77/x
  3. Step 3: Cross multiply
    8,301.44x = 11,450.67 × 4,941.77
  4. Step 4: Simplify right side
    8,301.44x = 56,586,520.23
  5. Step 5: Solve for x
    x = 56,586,520.23/8,301.44
  6. Step 6: Final answer
    x = 6,816.47

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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.