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Finding the Fourth Proportional to 10,775.92, 16,140.12 and 7,847.52

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Solution

The fourth proportional to 10,775.92, 16,140.12 and 7,847.52 is: 11,753.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.92 : 16,140.12 = 7,847.52 : x
  2. Step 2: Convert to fraction form
    10,775.92/16,140.12 = 7,847.52/x
  3. Step 3: Cross multiply
    10,775.92x = 16,140.12 × 7,847.52
  4. Step 4: Simplify right side
    10,775.92x = 126,659,914.50
  5. Step 5: Solve for x
    x = 126,659,914.50/10,775.92
  6. Step 6: Final answer
    x = 11,753.98

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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.