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Finding the Fourth Proportional to 7,830.80, 11,745.97 and 2,900.33

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Solution

The fourth proportional to 7,830.80, 11,745.97 and 2,900.33 is: 4,350.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.80 : 11,745.97 = 2,900.33 : x
  2. Step 2: Convert to fraction form
    7,830.80/11,745.97 = 2,900.33/x
  3. Step 3: Cross multiply
    7,830.80x = 11,745.97 × 2,900.33
  4. Step 4: Simplify right side
    7,830.80x = 34,067,152.55
  5. Step 5: Solve for x
    x = 34,067,152.55/7,830.80
  6. Step 6: Final answer
    x = 4,350.41

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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.