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Finding the Fourth Proportional to 7,902.72, 11,842.80 and 4,201.68

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Solution

The fourth proportional to 7,902.72, 11,842.80 and 4,201.68 is: 6,296.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.72 : 11,842.80 = 4,201.68 : x
  2. Step 2: Convert to fraction form
    7,902.72/11,842.80 = 4,201.68/x
  3. Step 3: Cross multiply
    7,902.72x = 11,842.80 × 4,201.68
  4. Step 4: Simplify right side
    7,902.72x = 49,759,655.90
  5. Step 5: Solve for x
    x = 49,759,655.90/7,902.72
  6. Step 6: Final answer
    x = 6,296.52

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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.