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Finding the Fourth Proportional to 6,830.58, 10,246.21 and 3,131.13

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Solution

The fourth proportional to 6,830.58, 10,246.21 and 3,131.13 is: 4,696.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.58 : 10,246.21 = 3,131.13 : x
  2. Step 2: Convert to fraction form
    6,830.58/10,246.21 = 3,131.13/x
  3. Step 3: Cross multiply
    6,830.58x = 10,246.21 × 3,131.13
  4. Step 4: Simplify right side
    6,830.58x = 32,082,221.70
  5. Step 5: Solve for x
    x = 32,082,221.70/6,830.58
  6. Step 6: Final answer
    x = 4,696.85

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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.