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Finding the Fourth Proportional to 12,546.27, 17,314.02 and 7,240.10

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Solution

The fourth proportional to 12,546.27, 17,314.02 and 7,240.10 is: 9,991.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.27 : 17,314.02 = 7,240.10 : x
  2. Step 2: Convert to fraction form
    12,546.27/17,314.02 = 7,240.10/x
  3. Step 3: Cross multiply
    12,546.27x = 17,314.02 × 7,240.10
  4. Step 4: Simplify right side
    12,546.27x = 125,355,149.63
  5. Step 5: Solve for x
    x = 125,355,149.63/12,546.27
  6. Step 6: Final answer
    x = 9,991.43

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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.