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Finding the Fourth Proportional to 10,213.78, 15,322.11 and 3,638.02

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Solution

The fourth proportional to 10,213.78, 15,322.11 and 3,638.02 is: 5,457.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,213.78 : 15,322.11 = 3,638.02 : x
  2. Step 2: Convert to fraction form
    10,213.78/15,322.11 = 3,638.02/x
  3. Step 3: Cross multiply
    10,213.78x = 15,322.11 × 3,638.02
  4. Step 4: Simplify right side
    10,213.78x = 55,742,142.62
  5. Step 5: Solve for x
    x = 55,742,142.62/10,213.78
  6. Step 6: Final answer
    x = 5,457.54

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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.