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Finding the Fourth Proportional to 11,434.97, 17,083.16 and 7,241.40

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Solution

The fourth proportional to 11,434.97, 17,083.16 and 7,241.40 is: 10,818.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,434.97 : 17,083.16 = 7,241.40 : x
  2. Step 2: Convert to fraction form
    11,434.97/17,083.16 = 7,241.40/x
  3. Step 3: Cross multiply
    11,434.97x = 17,083.16 × 7,241.40
  4. Step 4: Simplify right side
    11,434.97x = 123,705,994.82
  5. Step 5: Solve for x
    x = 123,705,994.82/11,434.97
  6. Step 6: Final answer
    x = 10,818.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.