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Finding the Fourth Proportional to 7,157.40, 10,731.10 and 4,234.20

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Solution

The fourth proportional to 7,157.40, 10,731.10 and 4,234.20 is: 6,348.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.40 : 10,731.10 = 4,234.20 : x
  2. Step 2: Convert to fraction form
    7,157.40/10,731.10 = 4,234.20/x
  3. Step 3: Cross multiply
    7,157.40x = 10,731.10 × 4,234.20
  4. Step 4: Simplify right side
    7,157.40x = 45,437,623.62
  5. Step 5: Solve for x
    x = 45,437,623.62/7,157.40
  6. Step 6: Final answer
    x = 6,348.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.