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Finding the Fourth Proportional to 11,716.50, 17,577.18 and 4,791

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Solution

The fourth proportional to 11,716.50, 17,577.18 and 4,791 is: 7,187.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,716.50 : 17,577.18 = 4,791 : x
  2. Step 2: Convert to fraction form
    11,716.50/17,577.18 = 4,791/x
  3. Step 3: Cross multiply
    11,716.50x = 17,577.18 × 4,791
  4. Step 4: Simplify right side
    11,716.50x = 84,212,269.38
  5. Step 5: Solve for x
    x = 84,212,269.38/11,716.50
  6. Step 6: Final answer
    x = 7,187.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.