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Finding the Fourth Proportional to 11,828.32, 17,745.24 and 4,037.14

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Solution

The fourth proportional to 11,828.32, 17,745.24 and 4,037.14 is: 6,056.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,828.32 : 17,745.24 = 4,037.14 : x
  2. Step 2: Convert to fraction form
    11,828.32/17,745.24 = 4,037.14/x
  3. Step 3: Cross multiply
    11,828.32x = 17,745.24 × 4,037.14
  4. Step 4: Simplify right side
    11,828.32x = 71,640,018.21
  5. Step 5: Solve for x
    x = 71,640,018.21/11,828.32
  6. Step 6: Final answer
    x = 6,056.65

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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.