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Finding the Fourth Proportional to 10,800.85, 16,205.75 and 5,175.67

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Solution

The fourth proportional to 10,800.85, 16,205.75 and 5,175.67 is: 7,765.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,800.85 : 16,205.75 = 5,175.67 : x
  2. Step 2: Convert to fraction form
    10,800.85/16,205.75 = 5,175.67/x
  3. Step 3: Cross multiply
    10,800.85x = 16,205.75 × 5,175.67
  4. Step 4: Simplify right side
    10,800.85x = 83,875,614.10
  5. Step 5: Solve for x
    x = 83,875,614.10/10,800.85
  6. Step 6: Final answer
    x = 7,765.65

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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.