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Finding the Fourth Proportional to 7,477.20, 11,201.42 and 4,180.30

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Solution

The fourth proportional to 7,477.20, 11,201.42 and 4,180.30 is: 6,262.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477.20 : 11,201.42 = 4,180.30 : x
  2. Step 2: Convert to fraction form
    7,477.20/11,201.42 = 4,180.30/x
  3. Step 3: Cross multiply
    7,477.20x = 11,201.42 × 4,180.30
  4. Step 4: Simplify right side
    7,477.20x = 46,825,296.03
  5. Step 5: Solve for x
    x = 46,825,296.03/7,477.20
  6. Step 6: Final answer
    x = 6,262.41

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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.