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Finding the Fourth Proportional to 11,851.09, 16,357.77 and 7,372.18

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Solution

The fourth proportional to 11,851.09, 16,357.77 and 7,372.18 is: 10,175.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,851.09 : 16,357.77 = 7,372.18 : x
  2. Step 2: Convert to fraction form
    11,851.09/16,357.77 = 7,372.18/x
  3. Step 3: Cross multiply
    11,851.09x = 16,357.77 × 7,372.18
  4. Step 4: Simplify right side
    11,851.09x = 120,592,424.84
  5. Step 5: Solve for x
    x = 120,592,424.84/11,851.09
  6. Step 6: Final answer
    x = 10,175.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.