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Finding the Fourth Proportional to 11,829.30, 17,745.54 and 3,509.43

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Solution

The fourth proportional to 11,829.30, 17,745.54 and 3,509.43 is: 5,264.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,829.30 : 17,745.54 = 3,509.43 : x
  2. Step 2: Convert to fraction form
    11,829.30/17,745.54 = 3,509.43/x
  3. Step 3: Cross multiply
    11,829.30x = 17,745.54 × 3,509.43
  4. Step 4: Simplify right side
    11,829.30x = 62,276,730.44
  5. Step 5: Solve for x
    x = 62,276,730.44/11,829.30
  6. Step 6: Final answer
    x = 5,264.62

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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.