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Finding the Fourth Proportional to 10,305, 15,452.48 and 7,186.52

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Solution

The fourth proportional to 10,305, 15,452.48 and 7,186.52 is: 10,776.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305 : 15,452.48 = 7,186.52 : x
  2. Step 2: Convert to fraction form
    10,305/15,452.48 = 7,186.52/x
  3. Step 3: Cross multiply
    10,305x = 15,452.48 × 7,186.52
  4. Step 4: Simplify right side
    10,305x = 111,049,556.57
  5. Step 5: Solve for x
    x = 111,049,556.57/10,305
  6. Step 6: Final answer
    x = 10,776.28

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