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Finding the Fourth Proportional to 8,580.40, 12,871.82 and 4,198.11

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Solution

The fourth proportional to 8,580.40, 12,871.82 and 4,198.11 is: 6,297.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,580.40 : 12,871.82 = 4,198.11 : x
  2. Step 2: Convert to fraction form
    8,580.40/12,871.82 = 4,198.11/x
  3. Step 3: Cross multiply
    8,580.40x = 12,871.82 × 4,198.11
  4. Step 4: Simplify right side
    8,580.40x = 54,037,316.26
  5. Step 5: Solve for x
    x = 54,037,316.26/8,580.40
  6. Step 6: Final answer
    x = 6,297.76

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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.