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Finding the Fourth Proportional to 11,344.81, 17,006.84 and 4,771.46

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Solution

The fourth proportional to 11,344.81, 17,006.84 and 4,771.46 is: 7,152.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,344.81 : 17,006.84 = 4,771.46 : x
  2. Step 2: Convert to fraction form
    11,344.81/17,006.84 = 4,771.46/x
  3. Step 3: Cross multiply
    11,344.81x = 17,006.84 × 4,771.46
  4. Step 4: Simplify right side
    11,344.81x = 81,147,456.79
  5. Step 5: Solve for x
    x = 81,147,456.79/11,344.81
  6. Step 6: Final answer
    x = 7,152.83

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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.