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Finding the Fourth Proportional to 8,195.20, 11,300.46 and 5,538.01

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Solution

The fourth proportional to 8,195.20, 11,300.46 and 5,538.01 is: 7,636.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.20 : 11,300.46 = 5,538.01 : x
  2. Step 2: Convert to fraction form
    8,195.20/11,300.46 = 5,538.01/x
  3. Step 3: Cross multiply
    8,195.20x = 11,300.46 × 5,538.01
  4. Step 4: Simplify right side
    8,195.20x = 62,582,060.48
  5. Step 5: Solve for x
    x = 62,582,060.48/8,195.20
  6. Step 6: Final answer
    x = 7,636.43

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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.