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Finding the Fourth Proportional to 26,961, 40,441.50 and 7,505

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Solution

The fourth proportional to 26,961, 40,441.50 and 7,505 is: 11,257.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,961 : 40,441.50 = 7,505 : x
  2. Step 2: Convert to fraction form
    26,961/40,441.50 = 7,505/x
  3. Step 3: Cross multiply
    26,961x = 40,441.50 × 7,505
  4. Step 4: Simplify right side
    26,961x = 303,513,457.50
  5. Step 5: Solve for x
    x = 303,513,457.50/26,961
  6. Step 6: Final answer
    x = 11,257.50

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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.