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Finding the Fourth Proportional to 8,530, 11,771.49 and 4,804

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Solution

The fourth proportional to 8,530, 11,771.49 and 4,804 is: 6,629.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530 : 11,771.49 = 4,804 : x
  2. Step 2: Convert to fraction form
    8,530/11,771.49 = 4,804/x
  3. Step 3: Cross multiply
    8,530x = 11,771.49 × 4,804
  4. Step 4: Simplify right side
    8,530x = 56,550,237.96
  5. Step 5: Solve for x
    x = 56,550,237.96/8,530
  6. Step 6: Final answer
    x = 6,629.57

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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.