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Finding the Fourth Proportional to 7,092.74, 10,636.29 and 2,411.80

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Solution

The fourth proportional to 7,092.74, 10,636.29 and 2,411.80 is: 3,616.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,092.74 : 10,636.29 = 2,411.80 : x
  2. Step 2: Convert to fraction form
    7,092.74/10,636.29 = 2,411.80/x
  3. Step 3: Cross multiply
    7,092.74x = 10,636.29 × 2,411.80
  4. Step 4: Simplify right side
    7,092.74x = 25,652,604.22
  5. Step 5: Solve for x
    x = 25,652,604.22/7,092.74
  6. Step 6: Final answer
    x = 3,616.74

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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.