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Finding the Fourth Proportional to 7,745.60, 11,610.30 and 4,230.20

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Solution

The fourth proportional to 7,745.60, 11,610.30 and 4,230.20 is: 6,340.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.60 : 11,610.30 = 4,230.20 : x
  2. Step 2: Convert to fraction form
    7,745.60/11,610.30 = 4,230.20/x
  3. Step 3: Cross multiply
    7,745.60x = 11,610.30 × 4,230.20
  4. Step 4: Simplify right side
    7,745.60x = 49,113,891.06
  5. Step 5: Solve for x
    x = 49,113,891.06/7,745.60
  6. Step 6: Final answer
    x = 6,340.88

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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.