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Finding the Fourth Proportional to 10,672.56, 16,009.32 and 3,276.48

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Solution

The fourth proportional to 10,672.56, 16,009.32 and 3,276.48 is: 4,914.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672.56 : 16,009.32 = 3,276.48 : x
  2. Step 2: Convert to fraction form
    10,672.56/16,009.32 = 3,276.48/x
  3. Step 3: Cross multiply
    10,672.56x = 16,009.32 × 3,276.48
  4. Step 4: Simplify right side
    10,672.56x = 52,454,216.79
  5. Step 5: Solve for x
    x = 52,454,216.79/10,672.56
  6. Step 6: Final answer
    x = 4,914.87

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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.