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Finding the Fourth Proportional to 6,812.31, 10,214.76 and 2,130.30

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Solution

The fourth proportional to 6,812.31, 10,214.76 and 2,130.30 is: 3,194.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.31 : 10,214.76 = 2,130.30 : x
  2. Step 2: Convert to fraction form
    6,812.31/10,214.76 = 2,130.30/x
  3. Step 3: Cross multiply
    6,812.31x = 10,214.76 × 2,130.30
  4. Step 4: Simplify right side
    6,812.31x = 21,760,503.23
  5. Step 5: Solve for x
    x = 21,760,503.23/6,812.31
  6. Step 6: Final answer
    x = 3,194.29

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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.