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Finding the Fourth Proportional to 7,755.99, 11,635.93 and 2,491.47

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Solution

The fourth proportional to 7,755.99, 11,635.93 and 2,491.47 is: 3,737.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,755.99 : 11,635.93 = 2,491.47 : x
  2. Step 2: Convert to fraction form
    7,755.99/11,635.93 = 2,491.47/x
  3. Step 3: Cross multiply
    7,755.99x = 11,635.93 × 2,491.47
  4. Step 4: Simplify right side
    7,755.99x = 28,990,570.52
  5. Step 5: Solve for x
    x = 28,990,570.52/7,755.99
  6. Step 6: Final answer
    x = 3,737.83

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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.