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Finding the Fourth Proportional to 7,852.62, 11,779.50 and 2,922.26

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Solution

The fourth proportional to 7,852.62, 11,779.50 and 2,922.26 is: 4,383.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.62 : 11,779.50 = 2,922.26 : x
  2. Step 2: Convert to fraction form
    7,852.62/11,779.50 = 2,922.26/x
  3. Step 3: Cross multiply
    7,852.62x = 11,779.50 × 2,922.26
  4. Step 4: Simplify right side
    7,852.62x = 34,422,779.99
  5. Step 5: Solve for x
    x = 34,422,779.99/7,852.62
  6. Step 6: Final answer
    x = 4,383.61

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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.