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Finding the Fourth Proportional to 11,205.76, 16,811.52 and 4,276.48

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Solution

The fourth proportional to 11,205.76, 16,811.52 and 4,276.48 is: 6,415.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,205.76 : 16,811.52 = 4,276.48 : x
  2. Step 2: Convert to fraction form
    11,205.76/16,811.52 = 4,276.48/x
  3. Step 3: Cross multiply
    11,205.76x = 16,811.52 × 4,276.48
  4. Step 4: Simplify right side
    11,205.76x = 71,894,129.05
  5. Step 5: Solve for x
    x = 71,894,129.05/11,205.76
  6. Step 6: Final answer
    x = 6,415.82

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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.