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Finding the Fourth Proportional to 12,716.37, 17,550.40 and 7,052.38

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Solution

The fourth proportional to 12,716.37, 17,550.40 and 7,052.38 is: 9,733.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,716.37 : 17,550.40 = 7,052.38 : x
  2. Step 2: Convert to fraction form
    12,716.37/17,550.40 = 7,052.38/x
  3. Step 3: Cross multiply
    12,716.37x = 17,550.40 × 7,052.38
  4. Step 4: Simplify right side
    12,716.37x = 123,772,028.45
  5. Step 5: Solve for x
    x = 123,772,028.45/12,716.37
  6. Step 6: Final answer
    x = 9,733.28

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Why These Related Problems?

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