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Finding the Fourth Proportional to 10,986.94, 15,163.20 and 6,271.22

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Solution

The fourth proportional to 10,986.94, 15,163.20 and 6,271.22 is: 8,654.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,986.94 : 15,163.20 = 6,271.22 : x
  2. Step 2: Convert to fraction form
    10,986.94/15,163.20 = 6,271.22/x
  3. Step 3: Cross multiply
    10,986.94x = 15,163.20 × 6,271.22
  4. Step 4: Simplify right side
    10,986.94x = 95,091,801.01
  5. Step 5: Solve for x
    x = 95,091,801.01/10,986.94
  6. Step 6: Final answer
    x = 8,654.98

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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.