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Finding the Fourth Proportional to 11,897.73, 17,832.42 and 4,877.46

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Solution

The fourth proportional to 11,897.73, 17,832.42 and 4,877.46 is: 7,310.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.73 : 17,832.42 = 4,877.46 : x
  2. Step 2: Convert to fraction form
    11,897.73/17,832.42 = 4,877.46/x
  3. Step 3: Cross multiply
    11,897.73x = 17,832.42 × 4,877.46
  4. Step 4: Simplify right side
    11,897.73x = 86,976,915.25
  5. Step 5: Solve for x
    x = 86,976,915.25/11,897.73
  6. Step 6: Final answer
    x = 7,310.38

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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.