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Finding the Fourth Proportional to 10,680.35, 16,018.07 and 3,182.39

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Solution

The fourth proportional to 10,680.35, 16,018.07 and 3,182.39 is: 4,772.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,680.35 : 16,018.07 = 3,182.39 : x
  2. Step 2: Convert to fraction form
    10,680.35/16,018.07 = 3,182.39/x
  3. Step 3: Cross multiply
    10,680.35x = 16,018.07 × 3,182.39
  4. Step 4: Simplify right side
    10,680.35x = 50,975,649.79
  5. Step 5: Solve for x
    x = 50,975,649.79/10,680.35
  6. Step 6: Final answer
    x = 4,772.84

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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.