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Finding the Fourth Proportional to 8,184.98, 11,294.75 and 4,827.94

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Solution

The fourth proportional to 8,184.98, 11,294.75 and 4,827.94 is: 6,662.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.98 : 11,294.75 = 4,827.94 : x
  2. Step 2: Convert to fraction form
    8,184.98/11,294.75 = 4,827.94/x
  3. Step 3: Cross multiply
    8,184.98x = 11,294.75 × 4,827.94
  4. Step 4: Simplify right side
    8,184.98x = 54,530,359.15
  5. Step 5: Solve for x
    x = 54,530,359.15/8,184.98
  6. Step 6: Final answer
    x = 6,662.25

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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.