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Finding the Fourth Proportional to 11,826.06, 17,745.99 and 6,565.50

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Solution

The fourth proportional to 11,826.06, 17,745.99 and 6,565.50 is: 9,852.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,826.06 : 17,745.99 = 6,565.50 : x
  2. Step 2: Convert to fraction form
    11,826.06/17,745.99 = 6,565.50/x
  3. Step 3: Cross multiply
    11,826.06x = 17,745.99 × 6,565.50
  4. Step 4: Simplify right side
    11,826.06x = 116,511,297.35
  5. Step 5: Solve for x
    x = 116,511,297.35/11,826.06
  6. Step 6: Final answer
    x = 9,852.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.