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Finding the Fourth Proportional to 8,234.10, 11,392.59 and 7,189.20

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Solution

The fourth proportional to 8,234.10, 11,392.59 and 7,189.20 is: 9,946.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.10 : 11,392.59 = 7,189.20 : x
  2. Step 2: Convert to fraction form
    8,234.10/11,392.59 = 7,189.20/x
  3. Step 3: Cross multiply
    8,234.10x = 11,392.59 × 7,189.20
  4. Step 4: Simplify right side
    8,234.10x = 81,903,608.03
  5. Step 5: Solve for x
    x = 81,903,608.03/8,234.10
  6. Step 6: Final answer
    x = 9,946.88

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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.