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Finding the Fourth Proportional to 26,775.75, 40,166.10 and 7,054.41

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Solution

The fourth proportional to 26,775.75, 40,166.10 and 7,054.41 is: 10,582.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,775.75 : 40,166.10 = 7,054.41 : x
  2. Step 2: Convert to fraction form
    26,775.75/40,166.10 = 7,054.41/x
  3. Step 3: Cross multiply
    26,775.75x = 40,166.10 × 7,054.41
  4. Step 4: Simplify right side
    26,775.75x = 283,348,137.50
  5. Step 5: Solve for x
    x = 283,348,137.50/26,775.75
  6. Step 6: Final answer
    x = 10,582.27

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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.