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Finding the Fourth Proportional to 11,767.50, 17,658.55 and 6,839.46

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Solution

The fourth proportional to 11,767.50, 17,658.55 and 6,839.46 is: 10,263.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,767.50 : 17,658.55 = 6,839.46 : x
  2. Step 2: Convert to fraction form
    11,767.50/17,658.55 = 6,839.46/x
  3. Step 3: Cross multiply
    11,767.50x = 17,658.55 × 6,839.46
  4. Step 4: Simplify right side
    11,767.50x = 120,774,912.19
  5. Step 5: Solve for x
    x = 120,774,912.19/11,767.50
  6. Step 6: Final answer
    x = 10,263.43

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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.