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Finding the Fourth Proportional to 26,846.44, 40,270.58 and 7,127

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Solution

The fourth proportional to 26,846.44, 40,270.58 and 7,127 is: 10,690.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,846.44 : 40,270.58 = 7,127 : x
  2. Step 2: Convert to fraction form
    26,846.44/40,270.58 = 7,127/x
  3. Step 3: Cross multiply
    26,846.44x = 40,270.58 × 7,127
  4. Step 4: Simplify right side
    26,846.44x = 287,008,423.66
  5. Step 5: Solve for x
    x = 287,008,423.66/26,846.44
  6. Step 6: Final answer
    x = 10,690.74

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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.