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Finding the Fourth Proportional to 10,255.01, 15,381.09 and 3,680.24

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Solution

The fourth proportional to 10,255.01, 15,381.09 and 3,680.24 is: 5,519.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,255.01 : 15,381.09 = 3,680.24 : x
  2. Step 2: Convert to fraction form
    10,255.01/15,381.09 = 3,680.24/x
  3. Step 3: Cross multiply
    10,255.01x = 15,381.09 × 3,680.24
  4. Step 4: Simplify right side
    10,255.01x = 56,606,025.76
  5. Step 5: Solve for x
    x = 56,606,025.76/10,255.01
  6. Step 6: Final answer
    x = 5,519.84

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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.