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Finding the Fourth Proportional to 11,583.84, 17,372.34 and 5,008.44

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Solution

The fourth proportional to 11,583.84, 17,372.34 and 5,008.44 is: 7,511.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,583.84 : 17,372.34 = 5,008.44 : x
  2. Step 2: Convert to fraction form
    11,583.84/17,372.34 = 5,008.44/x
  3. Step 3: Cross multiply
    11,583.84x = 17,372.34 × 5,008.44
  4. Step 4: Simplify right side
    11,583.84x = 87,008,322.55
  5. Step 5: Solve for x
    x = 87,008,322.55/11,583.84
  6. Step 6: Final answer
    x = 7,511.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.