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Finding the Fourth Proportional to 10,992.60, 16,491.24 and 3,200.76

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Solution

The fourth proportional to 10,992.60, 16,491.24 and 3,200.76 is: 4,801.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,992.60 : 16,491.24 = 3,200.76 : x
  2. Step 2: Convert to fraction form
    10,992.60/16,491.24 = 3,200.76/x
  3. Step 3: Cross multiply
    10,992.60x = 16,491.24 × 3,200.76
  4. Step 4: Simplify right side
    10,992.60x = 52,784,501.34
  5. Step 5: Solve for x
    x = 52,784,501.34/10,992.60
  6. Step 6: Final answer
    x = 4,801.82

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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.