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Finding the Fourth Proportional to 11,502, 17,242.76 and 4,480.37

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Solution

The fourth proportional to 11,502, 17,242.76 and 4,480.37 is: 6,716.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502 : 17,242.76 = 4,480.37 : x
  2. Step 2: Convert to fraction form
    11,502/17,242.76 = 4,480.37/x
  3. Step 3: Cross multiply
    11,502x = 17,242.76 × 4,480.37
  4. Step 4: Simplify right side
    11,502x = 77,253,957.56
  5. Step 5: Solve for x
    x = 77,253,957.56/11,502
  6. Step 6: Final answer
    x = 6,716.57

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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.