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Finding the Fourth Proportional to 10,481.34, 15,722.01 and 3,085.65

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Solution

The fourth proportional to 10,481.34, 15,722.01 and 3,085.65 is: 4,628.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,481.34 : 15,722.01 = 3,085.65 : x
  2. Step 2: Convert to fraction form
    10,481.34/15,722.01 = 3,085.65/x
  3. Step 3: Cross multiply
    10,481.34x = 15,722.01 × 3,085.65
  4. Step 4: Simplify right side
    10,481.34x = 48,512,620.16
  5. Step 5: Solve for x
    x = 48,512,620.16/10,481.34
  6. Step 6: Final answer
    x = 4,628.48

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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.