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Finding the Fourth Proportional to 12,377.46, 17,084.18 and 7,659.06

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Solution

The fourth proportional to 12,377.46, 17,084.18 and 7,659.06 is: 10,571.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,377.46 : 17,084.18 = 7,659.06 : x
  2. Step 2: Convert to fraction form
    12,377.46/17,084.18 = 7,659.06/x
  3. Step 3: Cross multiply
    12,377.46x = 17,084.18 × 7,659.06
  4. Step 4: Simplify right side
    12,377.46x = 130,848,759.67
  5. Step 5: Solve for x
    x = 130,848,759.67/12,377.46
  6. Step 6: Final answer
    x = 10,571.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.