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Finding the Fourth Proportional to 7,477.27, 11,201.54 and 4,180.37

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Solution

The fourth proportional to 7,477.27, 11,201.54 and 4,180.37 is: 6,262.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477.27 : 11,201.54 = 4,180.37 : x
  2. Step 2: Convert to fraction form
    7,477.27/11,201.54 = 4,180.37/x
  3. Step 3: Cross multiply
    7,477.27x = 11,201.54 × 4,180.37
  4. Step 4: Simplify right side
    7,477.27x = 46,826,504.86
  5. Step 5: Solve for x
    x = 46,826,504.86/7,477.27
  6. Step 6: Final answer
    x = 6,262.52

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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.