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Finding the Fourth Proportional to 12,583.62, 17,372.07 and 7,869.42

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Solution

The fourth proportional to 12,583.62, 17,372.07 and 7,869.42 is: 10,863.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,583.62 : 17,372.07 = 7,869.42 : x
  2. Step 2: Convert to fraction form
    12,583.62/17,372.07 = 7,869.42/x
  3. Step 3: Cross multiply
    12,583.62x = 17,372.07 × 7,869.42
  4. Step 4: Simplify right side
    12,583.62x = 136,708,115.10
  5. Step 5: Solve for x
    x = 136,708,115.10/12,583.62
  6. Step 6: Final answer
    x = 10,863.97

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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.