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Finding the Fourth Proportional to 11,661.10, 17,485.24 and 7,967.50

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Solution

The fourth proportional to 11,661.10, 17,485.24 and 7,967.50 is: 11,946.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.10 : 17,485.24 = 7,967.50 : x
  2. Step 2: Convert to fraction form
    11,661.10/17,485.24 = 7,967.50/x
  3. Step 3: Cross multiply
    11,661.10x = 17,485.24 × 7,967.50
  4. Step 4: Simplify right side
    11,661.10x = 139,313,649.70
  5. Step 5: Solve for x
    x = 139,313,649.70/11,661.10
  6. Step 6: Final answer
    x = 11,946.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.