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Finding the Fourth Proportional to 7,903.24, 11,852.34 and 3,223.24

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Solution

The fourth proportional to 7,903.24, 11,852.34 and 3,223.24 is: 4,833.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,903.24 : 11,852.34 = 3,223.24 : x
  2. Step 2: Convert to fraction form
    7,903.24/11,852.34 = 3,223.24/x
  3. Step 3: Cross multiply
    7,903.24x = 11,852.34 × 3,223.24
  4. Step 4: Simplify right side
    7,903.24x = 38,202,936.38
  5. Step 5: Solve for x
    x = 38,202,936.38/7,903.24
  6. Step 6: Final answer
    x = 4,833.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.