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Finding the Fourth Proportional to 7,829.87, 11,745.50 and 3,446.28

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Solution

The fourth proportional to 7,829.87, 11,745.50 and 3,446.28 is: 5,169.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.87 : 11,745.50 = 3,446.28 : x
  2. Step 2: Convert to fraction form
    7,829.87/11,745.50 = 3,446.28/x
  3. Step 3: Cross multiply
    7,829.87x = 11,745.50 × 3,446.28
  4. Step 4: Simplify right side
    7,829.87x = 40,478,264.51
  5. Step 5: Solve for x
    x = 40,478,264.51/7,829.87
  6. Step 6: Final answer
    x = 5,169.73

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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.