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Finding the Fourth Proportional to 11,584.49, 17,377.08 and 4,564.22

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Solution

The fourth proportional to 11,584.49, 17,377.08 and 4,564.22 is: 6,846.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,584.49 : 17,377.08 = 4,564.22 : x
  2. Step 2: Convert to fraction form
    11,584.49/17,377.08 = 4,564.22/x
  3. Step 3: Cross multiply
    11,584.49x = 17,377.08 × 4,564.22
  4. Step 4: Simplify right side
    11,584.49x = 79,312,884.37
  5. Step 5: Solve for x
    x = 79,312,884.37/11,584.49
  6. Step 6: Final answer
    x = 6,846.47

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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.