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Finding the Fourth Proportional to 11,828.72, 17,745.70 and 3,509.40

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Solution

The fourth proportional to 11,828.72, 17,745.70 and 3,509.40 is: 5,264.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,828.72 : 17,745.70 = 3,509.40 : x
  2. Step 2: Convert to fraction form
    11,828.72/17,745.70 = 3,509.40/x
  3. Step 3: Cross multiply
    11,828.72x = 17,745.70 × 3,509.40
  4. Step 4: Simplify right side
    11,828.72x = 62,276,759.58
  5. Step 5: Solve for x
    x = 62,276,759.58/11,828.72
  6. Step 6: Final answer
    x = 5,264.88

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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.