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Finding the Fourth Proportional to 7,687.37, 11,515.93 and 5,741.21

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Solution

The fourth proportional to 7,687.37, 11,515.93 and 5,741.21 is: 8,600.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.37 : 11,515.93 = 5,741.21 : x
  2. Step 2: Convert to fraction form
    7,687.37/11,515.93 = 5,741.21/x
  3. Step 3: Cross multiply
    7,687.37x = 11,515.93 × 5,741.21
  4. Step 4: Simplify right side
    7,687.37x = 66,115,372.48
  5. Step 5: Solve for x
    x = 66,115,372.48/7,687.37
  6. Step 6: Final answer
    x = 8,600.52

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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.