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Finding the Fourth Proportional to 10,750.56, 16,125.96 and 5,822.64

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Solution

The fourth proportional to 10,750.56, 16,125.96 and 5,822.64 is: 8,734.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,750.56 : 16,125.96 = 5,822.64 : x
  2. Step 2: Convert to fraction form
    10,750.56/16,125.96 = 5,822.64/x
  3. Step 3: Cross multiply
    10,750.56x = 16,125.96 × 5,822.64
  4. Step 4: Simplify right side
    10,750.56x = 93,895,659.73
  5. Step 5: Solve for x
    x = 93,895,659.73/10,750.56
  6. Step 6: Final answer
    x = 8,734.02

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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.