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Finding the Fourth Proportional to 7,777.73, 10,733.05 and 4,240.94

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Solution

The fourth proportional to 7,777.73, 10,733.05 and 4,240.94 is: 5,852.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.73 : 10,733.05 = 4,240.94 : x
  2. Step 2: Convert to fraction form
    7,777.73/10,733.05 = 4,240.94/x
  3. Step 3: Cross multiply
    7,777.73x = 10,733.05 × 4,240.94
  4. Step 4: Simplify right side
    7,777.73x = 45,518,221.07
  5. Step 5: Solve for x
    x = 45,518,221.07/7,777.73
  6. Step 6: Final answer
    x = 5,852.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.