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Finding the Fourth Proportional to 11,787.84, 17,685.23 and 4,764.29

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Solution

The fourth proportional to 11,787.84, 17,685.23 and 4,764.29 is: 7,147.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,787.84 : 17,685.23 = 4,764.29 : x
  2. Step 2: Convert to fraction form
    11,787.84/17,685.23 = 4,764.29/x
  3. Step 3: Cross multiply
    11,787.84x = 17,685.23 × 4,764.29
  4. Step 4: Simplify right side
    11,787.84x = 84,257,452.19
  5. Step 5: Solve for x
    x = 84,257,452.19/11,787.84
  6. Step 6: Final answer
    x = 7,147.83

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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.