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Finding the Fourth Proportional to 6,830.38, 10,243.95 and 3,130.30

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Solution

The fourth proportional to 6,830.38, 10,243.95 and 3,130.30 is: 4,694.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.38 : 10,243.95 = 3,130.30 : x
  2. Step 2: Convert to fraction form
    6,830.38/10,243.95 = 3,130.30/x
  3. Step 3: Cross multiply
    6,830.38x = 10,243.95 × 3,130.30
  4. Step 4: Simplify right side
    6,830.38x = 32,066,636.69
  5. Step 5: Solve for x
    x = 32,066,636.69/6,830.38
  6. Step 6: Final answer
    x = 4,694.71

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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.