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Finding the Fourth Proportional to 12,709.93, 17,540.76 and 7,046.46

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Solution

The fourth proportional to 12,709.93, 17,540.76 and 7,046.46 is: 9,724.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,709.93 : 17,540.76 = 7,046.46 : x
  2. Step 2: Convert to fraction form
    12,709.93/17,540.76 = 7,046.46/x
  3. Step 3: Cross multiply
    12,709.93x = 17,540.76 × 7,046.46
  4. Step 4: Simplify right side
    12,709.93x = 123,600,156.68
  5. Step 5: Solve for x
    x = 123,600,156.68/12,709.93
  6. Step 6: Final answer
    x = 9,724.69

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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.