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Finding the Fourth Proportional to 10,671.76, 16,007.22 and 3,275.84

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Solution

The fourth proportional to 10,671.76, 16,007.22 and 3,275.84 is: 4,913.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.76 : 16,007.22 = 3,275.84 : x
  2. Step 2: Convert to fraction form
    10,671.76/16,007.22 = 3,275.84/x
  3. Step 3: Cross multiply
    10,671.76x = 16,007.22 × 3,275.84
  4. Step 4: Simplify right side
    10,671.76x = 52,437,091.56
  5. Step 5: Solve for x
    x = 52,437,091.56/10,671.76
  6. Step 6: Final answer
    x = 4,913.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.