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Finding the Fourth Proportional to 12,783.98, 19,180.75 and 5,761.89

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Solution

The fourth proportional to 12,783.98, 19,180.75 and 5,761.89 is: 8,644.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,783.98 : 19,180.75 = 5,761.89 : x
  2. Step 2: Convert to fraction form
    12,783.98/19,180.75 = 5,761.89/x
  3. Step 3: Cross multiply
    12,783.98x = 19,180.75 × 5,761.89
  4. Step 4: Simplify right side
    12,783.98x = 110,517,371.62
  5. Step 5: Solve for x
    x = 110,517,371.62/12,783.98
  6. Step 6: Final answer
    x = 8,644.99

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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.