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Finding the Fourth Proportional to 11,493.70, 17,244.64 and 5,654.40

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Solution

The fourth proportional to 11,493.70, 17,244.64 and 5,654.40 is: 8,483.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493.70 : 17,244.64 = 5,654.40 : x
  2. Step 2: Convert to fraction form
    11,493.70/17,244.64 = 5,654.40/x
  3. Step 3: Cross multiply
    11,493.70x = 17,244.64 × 5,654.40
  4. Step 4: Simplify right side
    11,493.70x = 97,508,092.42
  5. Step 5: Solve for x
    x = 97,508,092.42/11,493.70
  6. Step 6: Final answer
    x = 8,483.61

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