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Finding the Fourth Proportional to 8,371.56, 12,548.12 and 3,686.60

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Solution

The fourth proportional to 8,371.56, 12,548.12 and 3,686.60 is: 5,525.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,371.56 : 12,548.12 = 3,686.60 : x
  2. Step 2: Convert to fraction form
    8,371.56/12,548.12 = 3,686.60/x
  3. Step 3: Cross multiply
    8,371.56x = 12,548.12 × 3,686.60
  4. Step 4: Simplify right side
    8,371.56x = 46,259,818.02
  5. Step 5: Solve for x
    x = 46,259,818.02/8,371.56
  6. Step 6: Final answer
    x = 5,525.83

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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.