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Finding the Fourth Proportional to 10,851.23, 16,260 and 7,525.97

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Solution

The fourth proportional to 10,851.23, 16,260 and 7,525.97 is: 11,277.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,851.23 : 16,260 = 7,525.97 : x
  2. Step 2: Convert to fraction form
    10,851.23/16,260 = 7,525.97/x
  3. Step 3: Cross multiply
    10,851.23x = 16,260 × 7,525.97
  4. Step 4: Simplify right side
    10,851.23x = 122,372,190.90
  5. Step 5: Solve for x
    x = 122,372,190.90/10,851.23
  6. Step 6: Final answer
    x = 11,277.27

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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.