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Finding the Fourth Proportional to 26,977.41, 40,466.91 and 7,255.98

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Solution

The fourth proportional to 26,977.41, 40,466.91 and 7,255.98 is: 10,884.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,977.41 : 40,466.91 = 7,255.98 : x
  2. Step 2: Convert to fraction form
    26,977.41/40,466.91 = 7,255.98/x
  3. Step 3: Cross multiply
    26,977.41x = 40,466.91 × 7,255.98
  4. Step 4: Simplify right side
    26,977.41x = 293,627,089.62
  5. Step 5: Solve for x
    x = 293,627,089.62/26,977.41
  6. Step 6: Final answer
    x = 10,884.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.