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Finding the Fourth Proportional to 8,195.79, 11,306.75 and 5,213.10

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Solution

The fourth proportional to 8,195.79, 11,306.75 and 5,213.10 is: 7,191.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.79 : 11,306.75 = 5,213.10 : x
  2. Step 2: Convert to fraction form
    8,195.79/11,306.75 = 5,213.10/x
  3. Step 3: Cross multiply
    8,195.79x = 11,306.75 × 5,213.10
  4. Step 4: Simplify right side
    8,195.79x = 58,943,192.36
  5. Step 5: Solve for x
    x = 58,943,192.36/8,195.79
  6. Step 6: Final answer
    x = 7,191.89

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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.