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Finding the Fourth Proportional to 8,386.84, 12,580.68 and 3,193.12

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Solution

The fourth proportional to 8,386.84, 12,580.68 and 3,193.12 is: 4,789.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,386.84 : 12,580.68 = 3,193.12 : x
  2. Step 2: Convert to fraction form
    8,386.84/12,580.68 = 3,193.12/x
  3. Step 3: Cross multiply
    8,386.84x = 12,580.68 × 3,193.12
  4. Step 4: Simplify right side
    8,386.84x = 40,171,620.92
  5. Step 5: Solve for x
    x = 40,171,620.92/8,386.84
  6. Step 6: Final answer
    x = 4,789.84

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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.