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Finding the Fourth Proportional to 8,029, 12,043.14 and 3,347.08

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Solution

The fourth proportional to 8,029, 12,043.14 and 3,347.08 is: 5,020.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,029 : 12,043.14 = 3,347.08 : x
  2. Step 2: Convert to fraction form
    8,029/12,043.14 = 3,347.08/x
  3. Step 3: Cross multiply
    8,029x = 12,043.14 × 3,347.08
  4. Step 4: Simplify right side
    8,029x = 40,309,353.03
  5. Step 5: Solve for x
    x = 40,309,353.03/8,029
  6. Step 6: Final answer
    x = 5,020.47

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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.