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Finding the Fourth Proportional to 8,537.63, 11,782.01 and 4,811.63

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Solution

The fourth proportional to 8,537.63, 11,782.01 and 4,811.63 is: 6,640.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.63 : 11,782.01 = 4,811.63 : x
  2. Step 2: Convert to fraction form
    8,537.63/11,782.01 = 4,811.63/x
  3. Step 3: Cross multiply
    8,537.63x = 11,782.01 × 4,811.63
  4. Step 4: Simplify right side
    8,537.63x = 56,690,625.90
  5. Step 5: Solve for x
    x = 56,690,625.90/8,537.63
  6. Step 6: Final answer
    x = 6,640.09

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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.