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Finding the Fourth Proportional to 11,596.54, 17,386.68 and 5,960.38

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Solution

The fourth proportional to 11,596.54, 17,386.68 and 5,960.38 is: 8,936.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.54 : 17,386.68 = 5,960.38 : x
  2. Step 2: Convert to fraction form
    11,596.54/17,386.68 = 5,960.38/x
  3. Step 3: Cross multiply
    11,596.54x = 17,386.68 × 5,960.38
  4. Step 4: Simplify right side
    11,596.54x = 103,631,219.74
  5. Step 5: Solve for x
    x = 103,631,219.74/11,596.54
  6. Step 6: Final answer
    x = 8,936.39

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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.