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Finding the Fourth Proportional to 11,667.84, 17,510.40 and 6,122.56

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Solution

The fourth proportional to 11,667.84, 17,510.40 and 6,122.56 is: 9,188.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,667.84 : 17,510.40 = 6,122.56 : x
  2. Step 2: Convert to fraction form
    11,667.84/17,510.40 = 6,122.56/x
  3. Step 3: Cross multiply
    11,667.84x = 17,510.40 × 6,122.56
  4. Step 4: Simplify right side
    11,667.84x = 107,208,474.62
  5. Step 5: Solve for x
    x = 107,208,474.62/11,667.84
  6. Step 6: Final answer
    x = 9,188.37

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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.