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Finding the Fourth Proportional to 12,710.95, 17,546.42 and 7,674.09

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Solution

The fourth proportional to 12,710.95, 17,546.42 and 7,674.09 is: 10,593.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,710.95 : 17,546.42 = 7,674.09 : x
  2. Step 2: Convert to fraction form
    12,710.95/17,546.42 = 7,674.09/x
  3. Step 3: Cross multiply
    12,710.95x = 17,546.42 × 7,674.09
  4. Step 4: Simplify right side
    12,710.95x = 134,652,858.34
  5. Step 5: Solve for x
    x = 134,652,858.34/12,710.95
  6. Step 6: Final answer
    x = 10,593.45

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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.