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Finding the Fourth Proportional to 12,919, 17,825.46 and 7,611.88

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Solution

The fourth proportional to 12,919, 17,825.46 and 7,611.88 is: 10,502.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,919 : 17,825.46 = 7,611.88 : x
  2. Step 2: Convert to fraction form
    12,919/17,825.46 = 7,611.88/x
  3. Step 3: Cross multiply
    12,919x = 17,825.46 × 7,611.88
  4. Step 4: Simplify right side
    12,919x = 135,685,262.46
  5. Step 5: Solve for x
    x = 135,685,262.46/12,919
  6. Step 6: Final answer
    x = 10,502.77

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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.