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Finding the Fourth Proportional to 11,525.01, 17,243.76 and 7,131.57

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Solution

The fourth proportional to 11,525.01, 17,243.76 and 7,131.57 is: 10,670.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,525.01 : 17,243.76 = 7,131.57 : x
  2. Step 2: Convert to fraction form
    11,525.01/17,243.76 = 7,131.57/x
  3. Step 3: Cross multiply
    11,525.01x = 17,243.76 × 7,131.57
  4. Step 4: Simplify right side
    11,525.01x = 122,975,081.50
  5. Step 5: Solve for x
    x = 122,975,081.50/11,525.01
  6. Step 6: Final answer
    x = 10,670.28

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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.