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Finding the Fourth Proportional to 10,832.40, 16,234.20 and 7,750.80

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Solution

The fourth proportional to 10,832.40, 16,234.20 and 7,750.80 is: 11,615.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,832.40 : 16,234.20 = 7,750.80 : x
  2. Step 2: Convert to fraction form
    10,832.40/16,234.20 = 7,750.80/x
  3. Step 3: Cross multiply
    10,832.40x = 16,234.20 × 7,750.80
  4. Step 4: Simplify right side
    10,832.40x = 125,828,037.36
  5. Step 5: Solve for x
    x = 125,828,037.36/10,832.40
  6. Step 6: Final answer
    x = 11,615.90

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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.