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Finding the Fourth Proportional to 7,852.38, 10,832.24 and 5,333.69

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Solution

The fourth proportional to 7,852.38, 10,832.24 and 5,333.69 is: 7,357.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.38 : 10,832.24 = 5,333.69 : x
  2. Step 2: Convert to fraction form
    7,852.38/10,832.24 = 5,333.69/x
  3. Step 3: Cross multiply
    7,852.38x = 10,832.24 × 5,333.69
  4. Step 4: Simplify right side
    7,852.38x = 57,775,729.34
  5. Step 5: Solve for x
    x = 57,775,729.34/7,852.38
  6. Step 6: Final answer
    x = 7,357.73

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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.