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Finding the Fourth Proportional to 10,273.89, 15,407.19 and 3,698.31

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Solution

The fourth proportional to 10,273.89, 15,407.19 and 3,698.31 is: 5,546.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,273.89 : 15,407.19 = 3,698.31 : x
  2. Step 2: Convert to fraction form
    10,273.89/15,407.19 = 3,698.31/x
  3. Step 3: Cross multiply
    10,273.89x = 15,407.19 × 3,698.31
  4. Step 4: Simplify right side
    10,273.89x = 56,980,564.85
  5. Step 5: Solve for x
    x = 56,980,564.85/10,273.89
  6. Step 6: Final answer
    x = 5,546.15

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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.