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Finding the Fourth Proportional to 10,765.29, 16,154.20 and 4,524.83

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Solution

The fourth proportional to 10,765.29, 16,154.20 and 4,524.83 is: 6,789.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.29 : 16,154.20 = 4,524.83 : x
  2. Step 2: Convert to fraction form
    10,765.29/16,154.20 = 4,524.83/x
  3. Step 3: Cross multiply
    10,765.29x = 16,154.20 × 4,524.83
  4. Step 4: Simplify right side
    10,765.29x = 73,094,916.70
  5. Step 5: Solve for x
    x = 73,094,916.70/10,765.29
  6. Step 6: Final answer
    x = 6,789.87

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