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Finding the Fourth Proportional to 11,505, 17,263.26 and 5,265

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Solution

The fourth proportional to 11,505, 17,263.26 and 5,265 is: 7,900.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,505 : 17,263.26 = 5,265 : x
  2. Step 2: Convert to fraction form
    11,505/17,263.26 = 5,265/x
  3. Step 3: Cross multiply
    11,505x = 17,263.26 × 5,265
  4. Step 4: Simplify right side
    11,505x = 90,891,063.90
  5. Step 5: Solve for x
    x = 90,891,063.90/11,505
  6. Step 6: Final answer
    x = 7,900.14

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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.