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Finding the Fourth Proportional to 10,685.76, 16,031.86 and 3,189.56

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Solution

The fourth proportional to 10,685.76, 16,031.86 and 3,189.56 is: 4,785.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,685.76 : 16,031.86 = 3,189.56 : x
  2. Step 2: Convert to fraction form
    10,685.76/16,031.86 = 3,189.56/x
  3. Step 3: Cross multiply
    10,685.76x = 16,031.86 × 3,189.56
  4. Step 4: Simplify right side
    10,685.76x = 51,134,591.48
  5. Step 5: Solve for x
    x = 51,134,591.48/10,685.76
  6. Step 6: Final answer
    x = 4,785.30

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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.