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Finding the Fourth Proportional to 7,687.12, 10,609.77 and 5,033.56

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Solution

The fourth proportional to 7,687.12, 10,609.77 and 5,033.56 is: 6,947.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.12 : 10,609.77 = 5,033.56 : x
  2. Step 2: Convert to fraction form
    7,687.12/10,609.77 = 5,033.56/x
  3. Step 3: Cross multiply
    7,687.12x = 10,609.77 × 5,033.56
  4. Step 4: Simplify right side
    7,687.12x = 53,404,913.88
  5. Step 5: Solve for x
    x = 53,404,913.88/7,687.12
  6. Step 6: Final answer
    x = 6,947.32

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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.