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Finding the Fourth Proportional to 8,506.60, 11,739.24 and 4,969.24

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Solution

The fourth proportional to 8,506.60, 11,739.24 and 4,969.24 is: 6,857.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.60 : 11,739.24 = 4,969.24 : x
  2. Step 2: Convert to fraction form
    8,506.60/11,739.24 = 4,969.24/x
  3. Step 3: Cross multiply
    8,506.60x = 11,739.24 × 4,969.24
  4. Step 4: Simplify right side
    8,506.60x = 58,335,100.98
  5. Step 5: Solve for x
    x = 58,335,100.98/8,506.60
  6. Step 6: Final answer
    x = 6,857.63

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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.