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Finding the Fourth Proportional to 11,491.49, 17,223.30 and 5,242.94

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Solution

The fourth proportional to 11,491.49, 17,223.30 and 5,242.94 is: 7,858.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,491.49 : 17,223.30 = 5,242.94 : x
  2. Step 2: Convert to fraction form
    11,491.49/17,223.30 = 5,242.94/x
  3. Step 3: Cross multiply
    11,491.49x = 17,223.30 × 5,242.94
  4. Step 4: Simplify right side
    11,491.49x = 90,300,728.50
  5. Step 5: Solve for x
    x = 90,300,728.50/11,491.49
  6. Step 6: Final answer
    x = 7,858.05

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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.