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Finding the Fourth Proportional to 12,762.90, 19,144.38 and 3,878.31

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Solution

The fourth proportional to 12,762.90, 19,144.38 and 3,878.31 is: 5,817.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.90 : 19,144.38 = 3,878.31 : x
  2. Step 2: Convert to fraction form
    12,762.90/19,144.38 = 3,878.31/x
  3. Step 3: Cross multiply
    12,762.90x = 19,144.38 × 3,878.31
  4. Step 4: Simplify right side
    12,762.90x = 74,247,926.73
  5. Step 5: Solve for x
    x = 74,247,926.73/12,762.90
  6. Step 6: Final answer
    x = 5,817.48

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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.