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Finding the Fourth Proportional to 12,760.62, 17,609.45 and 7,456.34

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Solution

The fourth proportional to 12,760.62, 17,609.45 and 7,456.34 is: 10,289.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,760.62 : 17,609.45 = 7,456.34 : x
  2. Step 2: Convert to fraction form
    12,760.62/17,609.45 = 7,456.34/x
  3. Step 3: Cross multiply
    12,760.62x = 17,609.45 × 7,456.34
  4. Step 4: Simplify right side
    12,760.62x = 131,301,921.08
  5. Step 5: Solve for x
    x = 131,301,921.08/12,760.62
  6. Step 6: Final answer
    x = 10,289.62

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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.