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Finding the Fourth Proportional to 11,468, 17,202 and 7,571.50

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Solution

The fourth proportional to 11,468, 17,202 and 7,571.50 is: 11,357.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,468 : 17,202 = 7,571.50 : x
  2. Step 2: Convert to fraction form
    11,468/17,202 = 7,571.50/x
  3. Step 3: Cross multiply
    11,468x = 17,202 × 7,571.50
  4. Step 4: Simplify right side
    11,468x = 130,244,943
  5. Step 5: Solve for x
    x = 130,244,943/11,468
  6. Step 6: Final answer
    x = 11,357.25

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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.