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Finding the Fourth Proportional to 7,852.38, 11,783.96 and 3,235.38

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Solution

The fourth proportional to 7,852.38, 11,783.96 and 3,235.38 is: 4,855.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.38 : 11,783.96 = 3,235.38 : x
  2. Step 2: Convert to fraction form
    7,852.38/11,783.96 = 3,235.38/x
  3. Step 3: Cross multiply
    7,852.38x = 11,783.96 × 3,235.38
  4. Step 4: Simplify right side
    7,852.38x = 38,125,588.50
  5. Step 5: Solve for x
    x = 38,125,588.50/7,852.38
  6. Step 6: Final answer
    x = 4,855.29

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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.