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Finding the Fourth Proportional to 12,410.70, 17,119.82 and 7,627.31

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Solution

The fourth proportional to 12,410.70, 17,119.82 and 7,627.31 is: 10,521.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,410.70 : 17,119.82 = 7,627.31 : x
  2. Step 2: Convert to fraction form
    12,410.70/17,119.82 = 7,627.31/x
  3. Step 3: Cross multiply
    12,410.70x = 17,119.82 × 7,627.31
  4. Step 4: Simplify right side
    12,410.70x = 130,578,174.28
  5. Step 5: Solve for x
    x = 130,578,174.28/12,410.70
  6. Step 6: Final answer
    x = 10,521.42

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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.