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Finding the Fourth Proportional to 12,130.25, 16,741.37 and 7,940.93

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Solution

The fourth proportional to 12,130.25, 16,741.37 and 7,940.93 is: 10,959.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,130.25 : 16,741.37 = 7,940.93 : x
  2. Step 2: Convert to fraction form
    12,130.25/16,741.37 = 7,940.93/x
  3. Step 3: Cross multiply
    12,130.25x = 16,741.37 × 7,940.93
  4. Step 4: Simplify right side
    12,130.25x = 132,942,007.57
  5. Step 5: Solve for x
    x = 132,942,007.57/12,130.25
  6. Step 6: Final answer
    x = 10,959.54

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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.