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Finding the Fourth Proportional to 11,907.34, 17,836.79 and 7,734.69

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Solution

The fourth proportional to 11,907.34, 17,836.79 and 7,734.69 is: 11,586.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907.34 : 17,836.79 = 7,734.69 : x
  2. Step 2: Convert to fraction form
    11,907.34/17,836.79 = 7,734.69/x
  3. Step 3: Cross multiply
    11,907.34x = 17,836.79 × 7,734.69
  4. Step 4: Simplify right side
    11,907.34x = 137,962,002.57
  5. Step 5: Solve for x
    x = 137,962,002.57/11,907.34
  6. Step 6: Final answer
    x = 11,586.30

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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.