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Finding the Fourth Proportional to 8,098.05, 11,171.49 and 4,738.80

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Solution

The fourth proportional to 8,098.05, 11,171.49 and 4,738.80 is: 6,537.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.05 : 11,171.49 = 4,738.80 : x
  2. Step 2: Convert to fraction form
    8,098.05/11,171.49 = 4,738.80/x
  3. Step 3: Cross multiply
    8,098.05x = 11,171.49 × 4,738.80
  4. Step 4: Simplify right side
    8,098.05x = 52,939,484.74
  5. Step 5: Solve for x
    x = 52,939,484.74/8,098.05
  6. Step 6: Final answer
    x = 6,537.31

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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.