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Finding the Fourth Proportional to 8,078.44, 12,119.40 and 4,787.68

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Solution

The fourth proportional to 8,078.44, 12,119.40 and 4,787.68 is: 7,182.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078.44 : 12,119.40 = 4,787.68 : x
  2. Step 2: Convert to fraction form
    8,078.44/12,119.40 = 4,787.68/x
  3. Step 3: Cross multiply
    8,078.44x = 12,119.40 × 4,787.68
  4. Step 4: Simplify right side
    8,078.44x = 58,023,808.99
  5. Step 5: Solve for x
    x = 58,023,808.99/8,078.44
  6. Step 6: Final answer
    x = 7,182.55

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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.