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Finding the Fourth Proportional to 8,415.27, 12,679.92 and 6,986.43

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Solution

The fourth proportional to 8,415.27, 12,679.92 and 6,986.43 is: 10,526.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415.27 : 12,679.92 = 6,986.43 : x
  2. Step 2: Convert to fraction form
    8,415.27/12,679.92 = 6,986.43/x
  3. Step 3: Cross multiply
    8,415.27x = 12,679.92 × 6,986.43
  4. Step 4: Simplify right side
    8,415.27x = 88,587,373.49
  5. Step 5: Solve for x
    x = 88,587,373.49/8,415.27
  6. Step 6: Final answer
    x = 10,526.98

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.