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Finding the Fourth Proportional to 8,537.76, 11,782.88 and 5,181.43

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Solution

The fourth proportional to 8,537.76, 11,782.88 and 5,181.43 is: 7,150.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.76 : 11,782.88 = 5,181.43 : x
  2. Step 2: Convert to fraction form
    8,537.76/11,782.88 = 5,181.43/x
  3. Step 3: Cross multiply
    8,537.76x = 11,782.88 × 5,181.43
  4. Step 4: Simplify right side
    8,537.76x = 61,052,167.92
  5. Step 5: Solve for x
    x = 61,052,167.92/8,537.76
  6. Step 6: Final answer
    x = 7,150.84

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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.