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Finding the Fourth Proportional to 12,546.16, 17,313.01 and 7,168.39

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Solution

The fourth proportional to 12,546.16, 17,313.01 and 7,168.39 is: 9,891.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.16 : 17,313.01 = 7,168.39 : x
  2. Step 2: Convert to fraction form
    12,546.16/17,313.01 = 7,168.39/x
  3. Step 3: Cross multiply
    12,546.16x = 17,313.01 × 7,168.39
  4. Step 4: Simplify right side
    12,546.16x = 124,106,407.75
  5. Step 5: Solve for x
    x = 124,106,407.75/12,546.16
  6. Step 6: Final answer
    x = 9,891.98

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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.