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Finding the Fourth Proportional to 26,846.88, 40,272.32 and 7,125

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Solution

The fourth proportional to 26,846.88, 40,272.32 and 7,125 is: 10,688.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,846.88 : 40,272.32 = 7,125 : x
  2. Step 2: Convert to fraction form
    26,846.88/40,272.32 = 7,125/x
  3. Step 3: Cross multiply
    26,846.88x = 40,272.32 × 7,125
  4. Step 4: Simplify right side
    26,846.88x = 286,940,280
  5. Step 5: Solve for x
    x = 286,940,280/26,846.88
  6. Step 6: Final answer
    x = 10,688.03

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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.