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Finding the Fourth Proportional to 11,847.48, 16,350.12 and 7,861.80

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Solution

The fourth proportional to 11,847.48, 16,350.12 and 7,861.80 is: 10,849.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.48 : 16,350.12 = 7,861.80 : x
  2. Step 2: Convert to fraction form
    11,847.48/16,350.12 = 7,861.80/x
  3. Step 3: Cross multiply
    11,847.48x = 16,350.12 × 7,861.80
  4. Step 4: Simplify right side
    11,847.48x = 128,541,373.42
  5. Step 5: Solve for x
    x = 128,541,373.42/11,847.48
  6. Step 6: Final answer
    x = 10,849.68

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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.