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Finding the Fourth Proportional to 8,185.38, 11,295.34 and 4,827.99

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Solution

The fourth proportional to 8,185.38, 11,295.34 and 4,827.99 is: 6,662.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.38 : 11,295.34 = 4,827.99 : x
  2. Step 2: Convert to fraction form
    8,185.38/11,295.34 = 4,827.99/x
  3. Step 3: Cross multiply
    8,185.38x = 11,295.34 × 4,827.99
  4. Step 4: Simplify right side
    8,185.38x = 54,533,788.57
  5. Step 5: Solve for x
    x = 54,533,788.57/8,185.38
  6. Step 6: Final answer
    x = 6,662.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.