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Finding the Fourth Proportional to 10,273.80, 15,410.70 and 6,993.30

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Solution

The fourth proportional to 10,273.80, 15,410.70 and 6,993.30 is: 10,489.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,273.80 : 15,410.70 = 6,993.30 : x
  2. Step 2: Convert to fraction form
    10,273.80/15,410.70 = 6,993.30/x
  3. Step 3: Cross multiply
    10,273.80x = 15,410.70 × 6,993.30
  4. Step 4: Simplify right side
    10,273.80x = 107,771,648.31
  5. Step 5: Solve for x
    x = 107,771,648.31/10,273.80
  6. Step 6: Final answer
    x = 10,489.95

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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.