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Finding the Fourth Proportional to 6,184.20, 8,679.75 and 6,184.20

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Solution

The fourth proportional to 6,184.20, 8,679.75 and 6,184.20 is: 8,679.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.20 : 8,679.75 = 6,184.20 : x
  2. Step 2: Convert to fraction form
    6,184.20/8,679.75 = 6,184.20/x
  3. Step 3: Cross multiply
    6,184.20x = 8,679.75 × 6,184.20
  4. Step 4: Simplify right side
    6,184.20x = 53,677,309.95
  5. Step 5: Solve for x
    x = 53,677,309.95/6,184.20
  6. Step 6: Final answer
    x = 8,679.75

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.