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Finding the Fourth Proportional to 7,467.69, 11,201.64 and 3,085.17

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Solution

The fourth proportional to 7,467.69, 11,201.64 and 3,085.17 is: 4,627.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,467.69 : 11,201.64 = 3,085.17 : x
  2. Step 2: Convert to fraction form
    7,467.69/11,201.64 = 3,085.17/x
  3. Step 3: Cross multiply
    7,467.69x = 11,201.64 × 3,085.17
  4. Step 4: Simplify right side
    7,467.69x = 34,558,963.68
  5. Step 5: Solve for x
    x = 34,558,963.68/7,467.69
  6. Step 6: Final answer
    x = 4,627.80

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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.