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Finding the Fourth Proportional to 12,763.46, 19,147.92 and 3,878

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Solution

The fourth proportional to 12,763.46, 19,147.92 and 3,878 is: 5,817.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,763.46 : 19,147.92 = 3,878 : x
  2. Step 2: Convert to fraction form
    12,763.46/19,147.92 = 3,878/x
  3. Step 3: Cross multiply
    12,763.46x = 19,147.92 × 3,878
  4. Step 4: Simplify right side
    12,763.46x = 74,255,633.76
  5. Step 5: Solve for x
    x = 74,255,633.76/12,763.46
  6. Step 6: Final answer
    x = 5,817.83

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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.