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Finding the Fourth Proportional to 8,188.57, 12,283.64 and 3,257.11

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Solution

The fourth proportional to 8,188.57, 12,283.64 and 3,257.11 is: 4,885.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.57 : 12,283.64 = 3,257.11 : x
  2. Step 2: Convert to fraction form
    8,188.57/12,283.64 = 3,257.11/x
  3. Step 3: Cross multiply
    8,188.57x = 12,283.64 × 3,257.11
  4. Step 4: Simplify right side
    8,188.57x = 40,009,166.68
  5. Step 5: Solve for x
    x = 40,009,166.68/8,188.57
  6. Step 6: Final answer
    x = 4,885.98

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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.