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Finding the Fourth Proportional to 8,184.30, 12,266.73 and 4,898.94

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Solution

The fourth proportional to 8,184.30, 12,266.73 and 4,898.94 is: 7,342.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.30 : 12,266.73 = 4,898.94 : x
  2. Step 2: Convert to fraction form
    8,184.30/12,266.73 = 4,898.94/x
  3. Step 3: Cross multiply
    8,184.30x = 12,266.73 × 4,898.94
  4. Step 4: Simplify right side
    8,184.30x = 60,093,974.27
  5. Step 5: Solve for x
    x = 60,093,974.27/8,184.30
  6. Step 6: Final answer
    x = 7,342.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.