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Finding the Fourth Proportional to 8,184.71, 11,294.97 and 4,647.99

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Solution

The fourth proportional to 8,184.71, 11,294.97 and 4,647.99 is: 6,414.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.71 : 11,294.97 = 4,647.99 : x
  2. Step 2: Convert to fraction form
    8,184.71/11,294.97 = 4,647.99/x
  3. Step 3: Cross multiply
    8,184.71x = 11,294.97 × 4,647.99
  4. Step 4: Simplify right side
    8,184.71x = 52,498,884.37
  5. Step 5: Solve for x
    x = 52,498,884.37/8,184.71
  6. Step 6: Final answer
    x = 6,414.27

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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.