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Finding the Fourth Proportional to 7,513, 11,269.98 and 2,041

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Solution

The fourth proportional to 7,513, 11,269.98 and 2,041 is: 3,061.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,513 : 11,269.98 = 2,041 : x
  2. Step 2: Convert to fraction form
    7,513/11,269.98 = 2,041/x
  3. Step 3: Cross multiply
    7,513x = 11,269.98 × 2,041
  4. Step 4: Simplify right side
    7,513x = 23,002,029.18
  5. Step 5: Solve for x
    x = 23,002,029.18/7,513
  6. Step 6: Final answer
    x = 3,061.63

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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.