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Finding the Fourth Proportional to 6,798.30, 10,186.50 and 4,195.77

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Solution

The fourth proportional to 6,798.30, 10,186.50 and 4,195.77 is: 6,286.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,798.30 : 10,186.50 = 4,195.77 : x
  2. Step 2: Convert to fraction form
    6,798.30/10,186.50 = 4,195.77/x
  3. Step 3: Cross multiply
    6,798.30x = 10,186.50 × 4,195.77
  4. Step 4: Simplify right side
    6,798.30x = 42,740,211.11
  5. Step 5: Solve for x
    x = 42,740,211.11/6,798.30
  6. Step 6: Final answer
    x = 6,286.90

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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.