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Finding the Fourth Proportional to 8,255, 11,392.06 and 4,943

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Solution

The fourth proportional to 8,255, 11,392.06 and 4,943 is: 6,821.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,255 : 11,392.06 = 4,943 : x
  2. Step 2: Convert to fraction form
    8,255/11,392.06 = 4,943/x
  3. Step 3: Cross multiply
    8,255x = 11,392.06 × 4,943
  4. Step 4: Simplify right side
    8,255x = 56,310,952.58
  5. Step 5: Solve for x
    x = 56,310,952.58/8,255
  6. Step 6: Final answer
    x = 6,821.44

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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.