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Finding the Fourth Proportional to 11,897.73, 16,418.70 and 7,421.16

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Solution

The fourth proportional to 11,897.73, 16,418.70 and 7,421.16 is: 10,241.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.73 : 16,418.70 = 7,421.16 : x
  2. Step 2: Convert to fraction form
    11,897.73/16,418.70 = 7,421.16/x
  3. Step 3: Cross multiply
    11,897.73x = 16,418.70 × 7,421.16
  4. Step 4: Simplify right side
    11,897.73x = 121,845,799.69
  5. Step 5: Solve for x
    x = 121,845,799.69/11,897.73
  6. Step 6: Final answer
    x = 10,241.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.