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Finding the Fourth Proportional to 8,228.42, 11,359.79 and 5,207.55

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Solution

The fourth proportional to 8,228.42, 11,359.79 and 5,207.55 is: 7,189.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228.42 : 11,359.79 = 5,207.55 : x
  2. Step 2: Convert to fraction form
    8,228.42/11,359.79 = 5,207.55/x
  3. Step 3: Cross multiply
    8,228.42x = 11,359.79 × 5,207.55
  4. Step 4: Simplify right side
    8,228.42x = 59,156,674.41
  5. Step 5: Solve for x
    x = 59,156,674.41/8,228.42
  6. Step 6: Final answer
    x = 7,189.31

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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.