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Finding the Fourth Proportional to 8,458.23, 12,687.43 and 3,778.48

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Solution

The fourth proportional to 8,458.23, 12,687.43 and 3,778.48 is: 5,667.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,458.23 : 12,687.43 = 3,778.48 : x
  2. Step 2: Convert to fraction form
    8,458.23/12,687.43 = 3,778.48/x
  3. Step 3: Cross multiply
    8,458.23x = 12,687.43 × 3,778.48
  4. Step 4: Simplify right side
    8,458.23x = 47,939,200.51
  5. Step 5: Solve for x
    x = 47,939,200.51/8,458.23
  6. Step 6: Final answer
    x = 5,667.76

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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.