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Finding the Fourth Proportional to 26,846.62, 40,266.81 and 7,126.72

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Solution

The fourth proportional to 26,846.62, 40,266.81 and 7,126.72 is: 10,689.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,846.62 : 40,266.81 = 7,126.72 : x
  2. Step 2: Convert to fraction form
    26,846.62/40,266.81 = 7,126.72/x
  3. Step 3: Cross multiply
    26,846.62x = 40,266.81 × 7,126.72
  4. Step 4: Simplify right side
    26,846.62x = 286,970,179.50
  5. Step 5: Solve for x
    x = 286,970,179.50/26,846.62
  6. Step 6: Final answer
    x = 10,689.25

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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.