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Finding the Fourth Proportional to 7,431.68, 10,234.10 and 6,956.80

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Solution

The fourth proportional to 7,431.68, 10,234.10 and 6,956.80 is: 9,580.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,431.68 : 10,234.10 = 6,956.80 : x
  2. Step 2: Convert to fraction form
    7,431.68/10,234.10 = 6,956.80/x
  3. Step 3: Cross multiply
    7,431.68x = 10,234.10 × 6,956.80
  4. Step 4: Simplify right side
    7,431.68x = 71,196,586.88
  5. Step 5: Solve for x
    x = 71,196,586.88/7,431.68
  6. Step 6: Final answer
    x = 9,580.15

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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.