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Finding the Fourth Proportional to 6,294.15, 8,692.25 and 5,186.07

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Solution

The fourth proportional to 6,294.15, 8,692.25 and 5,186.07 is: 7,161.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.15 : 8,692.25 = 5,186.07 : x
  2. Step 2: Convert to fraction form
    6,294.15/8,692.25 = 5,186.07/x
  3. Step 3: Cross multiply
    6,294.15x = 8,692.25 × 5,186.07
  4. Step 4: Simplify right side
    6,294.15x = 45,078,591.03
  5. Step 5: Solve for x
    x = 45,078,591.03/6,294.15
  6. Step 6: Final answer
    x = 7,161.98

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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.