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Finding the Fourth Proportional to 7,825.01, 11,744.10 and 7,332.41

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Solution

The fourth proportional to 7,825.01, 11,744.10 and 7,332.41 is: 11,004.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825.01 : 11,744.10 = 7,332.41 : x
  2. Step 2: Convert to fraction form
    7,825.01/11,744.10 = 7,332.41/x
  3. Step 3: Cross multiply
    7,825.01x = 11,744.10 × 7,332.41
  4. Step 4: Simplify right side
    7,825.01x = 86,112,556.28
  5. Step 5: Solve for x
    x = 86,112,556.28/7,825.01
  6. Step 6: Final answer
    x = 11,004.79

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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.