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Finding the Fourth Proportional to 8,185.43, 11,292.94 and 5,354.42

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Solution

The fourth proportional to 8,185.43, 11,292.94 and 5,354.42 is: 7,387.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.43 : 11,292.94 = 5,354.42 : x
  2. Step 2: Convert to fraction form
    8,185.43/11,292.94 = 5,354.42/x
  3. Step 3: Cross multiply
    8,185.43x = 11,292.94 × 5,354.42
  4. Step 4: Simplify right side
    8,185.43x = 60,467,117.02
  5. Step 5: Solve for x
    x = 60,467,117.02/8,185.43
  6. Step 6: Final answer
    x = 7,387.16

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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.