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Finding the Fourth Proportional to 7,902.04, 11,844.54 and 4,200.54

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Solution

The fourth proportional to 7,902.04, 11,844.54 and 4,200.54 is: 6,296.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.04 : 11,844.54 = 4,200.54 : x
  2. Step 2: Convert to fraction form
    7,902.04/11,844.54 = 4,200.54/x
  3. Step 3: Cross multiply
    7,902.04x = 11,844.54 × 4,200.54
  4. Step 4: Simplify right side
    7,902.04x = 49,753,464.05
  5. Step 5: Solve for x
    x = 49,753,464.05/7,902.04
  6. Step 6: Final answer
    x = 6,296.28

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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.