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Finding the Fourth Proportional to 8,191.46, 11,301 and 5,042.18

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Solution

The fourth proportional to 8,191.46, 11,301 and 5,042.18 is: 6,956.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.46 : 11,301 = 5,042.18 : x
  2. Step 2: Convert to fraction form
    8,191.46/11,301 = 5,042.18/x
  3. Step 3: Cross multiply
    8,191.46x = 11,301 × 5,042.18
  4. Step 4: Simplify right side
    8,191.46x = 56,981,676.18
  5. Step 5: Solve for x
    x = 56,981,676.18/8,191.46
  6. Step 6: Final answer
    x = 6,956.23

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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.