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Finding the Fourth Proportional to 11,871.43, 17,791.41 and 6,312.80

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Solution

The fourth proportional to 11,871.43, 17,791.41 and 6,312.80 is: 9,460.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.43 : 17,791.41 = 6,312.80 : x
  2. Step 2: Convert to fraction form
    11,871.43/17,791.41 = 6,312.80/x
  3. Step 3: Cross multiply
    11,871.43x = 17,791.41 × 6,312.80
  4. Step 4: Simplify right side
    11,871.43x = 112,313,681.20
  5. Step 5: Solve for x
    x = 112,313,681.20/11,871.43
  6. Step 6: Final answer
    x = 9,460.84

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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.