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Finding the Fourth Proportional to 7,675.80, 10,586.94 and 5,686.44

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Solution

The fourth proportional to 7,675.80, 10,586.94 and 5,686.44 is: 7,843.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675.80 : 10,586.94 = 5,686.44 : x
  2. Step 2: Convert to fraction form
    7,675.80/10,586.94 = 5,686.44/x
  3. Step 3: Cross multiply
    7,675.80x = 10,586.94 × 5,686.44
  4. Step 4: Simplify right side
    7,675.80x = 60,201,999.09
  5. Step 5: Solve for x
    x = 60,201,999.09/7,675.80
  6. Step 6: Final answer
    x = 7,843.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.