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Finding the Fourth Proportional to 11,800.40, 16,277.64 and 10,225.76

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Solution

The fourth proportional to 11,800.40, 16,277.64 and 10,225.76 is: 14,105.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.40 : 16,277.64 = 10,225.76 : x
  2. Step 2: Convert to fraction form
    11,800.40/16,277.64 = 10,225.76/x
  3. Step 3: Cross multiply
    11,800.40x = 16,277.64 × 10,225.76
  4. Step 4: Simplify right side
    11,800.40x = 166,451,240.01
  5. Step 5: Solve for x
    x = 166,451,240.01/11,800.40
  6. Step 6: Final answer
    x = 14,105.56

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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.