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Finding the Fourth Proportional to 8,384.44, 11,570.84 and 5,027.80

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Solution

The fourth proportional to 8,384.44, 11,570.84 and 5,027.80 is: 6,938.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.44 : 11,570.84 = 5,027.80 : x
  2. Step 2: Convert to fraction form
    8,384.44/11,570.84 = 5,027.80/x
  3. Step 3: Cross multiply
    8,384.44x = 11,570.84 × 5,027.80
  4. Step 4: Simplify right side
    8,384.44x = 58,175,869.35
  5. Step 5: Solve for x
    x = 58,175,869.35/8,384.44
  6. Step 6: Final answer
    x = 6,938.55

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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.