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Finding the Fourth Proportional to 8,537.55, 11,786.46 and 5,899.14

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Solution

The fourth proportional to 8,537.55, 11,786.46 and 5,899.14 is: 8,144.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.55 : 11,786.46 = 5,899.14 : x
  2. Step 2: Convert to fraction form
    8,537.55/11,786.46 = 5,899.14/x
  3. Step 3: Cross multiply
    8,537.55x = 11,786.46 × 5,899.14
  4. Step 4: Simplify right side
    8,537.55x = 69,529,977.64
  5. Step 5: Solve for x
    x = 69,529,977.64/8,537.55
  6. Step 6: Final answer
    x = 8,144.02

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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.