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Finding the Fourth Proportional to 8,555, 11,805.90 and 4,829.24

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Solution

The fourth proportional to 8,555, 11,805.90 and 4,829.24 is: 6,664.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,555 : 11,805.90 = 4,829.24 : x
  2. Step 2: Convert to fraction form
    8,555/11,805.90 = 4,829.24/x
  3. Step 3: Cross multiply
    8,555x = 11,805.90 × 4,829.24
  4. Step 4: Simplify right side
    8,555x = 57,013,524.52
  5. Step 5: Solve for x
    x = 57,013,524.52/8,555
  6. Step 6: Final answer
    x = 6,664.35

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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.