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Finding the Fourth Proportional to 10,273.74, 15,416.28 and 5,080.02

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Solution

The fourth proportional to 10,273.74, 15,416.28 and 5,080.02 is: 7,622.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,273.74 : 15,416.28 = 5,080.02 : x
  2. Step 2: Convert to fraction form
    10,273.74/15,416.28 = 5,080.02/x
  3. Step 3: Cross multiply
    10,273.74x = 15,416.28 × 5,080.02
  4. Step 4: Simplify right side
    10,273.74x = 78,315,010.73
  5. Step 5: Solve for x
    x = 78,315,010.73/10,273.74
  6. Step 6: Final answer
    x = 7,622.83

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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.