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Finding the Fourth Proportional to 11,406.94, 15,741.25 and 6,371.01

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Solution

The fourth proportional to 11,406.94, 15,741.25 and 6,371.01 is: 8,791.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,406.94 : 15,741.25 = 6,371.01 : x
  2. Step 2: Convert to fraction form
    11,406.94/15,741.25 = 6,371.01/x
  3. Step 3: Cross multiply
    11,406.94x = 15,741.25 × 6,371.01
  4. Step 4: Simplify right side
    11,406.94x = 100,287,661.16
  5. Step 5: Solve for x
    x = 100,287,661.16/11,406.94
  6. Step 6: Final answer
    x = 8,791.81

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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.