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Finding the Fourth Proportional to 11,902.63, 17,858.38 and 6,352.89

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Solution

The fourth proportional to 11,902.63, 17,858.38 and 6,352.89 is: 9,531.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.63 : 17,858.38 = 6,352.89 : x
  2. Step 2: Convert to fraction form
    11,902.63/17,858.38 = 6,352.89/x
  3. Step 3: Cross multiply
    11,902.63x = 17,858.38 × 6,352.89
  4. Step 4: Simplify right side
    11,902.63x = 113,452,323.72
  5. Step 5: Solve for x
    x = 113,452,323.72/11,902.63
  6. Step 6: Final answer
    x = 9,531.70

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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.