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Finding the Fourth Proportional to 10,765.54, 14,856.62 and 6,049.82

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Solution

The fourth proportional to 10,765.54, 14,856.62 and 6,049.82 is: 8,348.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.54 : 14,856.62 = 6,049.82 : x
  2. Step 2: Convert to fraction form
    10,765.54/14,856.62 = 6,049.82/x
  3. Step 3: Cross multiply
    10,765.54x = 14,856.62 × 6,049.82
  4. Step 4: Simplify right side
    10,765.54x = 89,879,846.56
  5. Step 5: Solve for x
    x = 89,879,846.56/10,765.54
  6. Step 6: Final answer
    x = 8,348.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.