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Finding the Fourth Proportional to 7,902.54, 11,850.30 and 4,203.99

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Solution

The fourth proportional to 7,902.54, 11,850.30 and 4,203.99 is: 6,304.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.54 : 11,850.30 = 4,203.99 : x
  2. Step 2: Convert to fraction form
    7,902.54/11,850.30 = 4,203.99/x
  3. Step 3: Cross multiply
    7,902.54x = 11,850.30 × 4,203.99
  4. Step 4: Simplify right side
    7,902.54x = 49,818,542.70
  5. Step 5: Solve for x
    x = 49,818,542.70/7,902.54
  6. Step 6: Final answer
    x = 6,304.12

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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.