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Finding the Fourth Proportional to 7,365.78, 11,042.37 and 3,202.59

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Solution

The fourth proportional to 7,365.78, 11,042.37 and 3,202.59 is: 4,801.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,365.78 : 11,042.37 = 3,202.59 : x
  2. Step 2: Convert to fraction form
    7,365.78/11,042.37 = 3,202.59/x
  3. Step 3: Cross multiply
    7,365.78x = 11,042.37 × 3,202.59
  4. Step 4: Simplify right side
    7,365.78x = 35,364,183.74
  5. Step 5: Solve for x
    x = 35,364,183.74/7,365.78
  6. Step 6: Final answer
    x = 4,801.15

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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.