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Finding the Fourth Proportional to 7,759.40, 11,629.84 and 5,406.66

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Solution

The fourth proportional to 7,759.40, 11,629.84 and 5,406.66 is: 8,103.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,759.40 : 11,629.84 = 5,406.66 : x
  2. Step 2: Convert to fraction form
    7,759.40/11,629.84 = 5,406.66/x
  3. Step 3: Cross multiply
    7,759.40x = 11,629.84 × 5,406.66
  4. Step 4: Simplify right side
    7,759.40x = 62,878,590.73
  5. Step 5: Solve for x
    x = 62,878,590.73/7,759.40
  6. Step 6: Final answer
    x = 8,103.54

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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.