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Finding the Fourth Proportional to 12,712.37, 17,542.17 and 7,046.57

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Solution

The fourth proportional to 12,712.37, 17,542.17 and 7,046.57 is: 9,723.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,712.37 : 17,542.17 = 7,046.57 : x
  2. Step 2: Convert to fraction form
    12,712.37/17,542.17 = 7,046.57/x
  3. Step 3: Cross multiply
    12,712.37x = 17,542.17 × 7,046.57
  4. Step 4: Simplify right side
    12,712.37x = 123,612,041.15
  5. Step 5: Solve for x
    x = 123,612,041.15/12,712.37
  6. Step 6: Final answer
    x = 9,723.76

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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.