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Finding the Fourth Proportional to 10,885.78, 16,324.80 and 5,615.20

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Solution

The fourth proportional to 10,885.78, 16,324.80 and 5,615.20 is: 8,420.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,885.78 : 16,324.80 = 5,615.20 : x
  2. Step 2: Convert to fraction form
    10,885.78/16,324.80 = 5,615.20/x
  3. Step 3: Cross multiply
    10,885.78x = 16,324.80 × 5,615.20
  4. Step 4: Simplify right side
    10,885.78x = 91,667,016.96
  5. Step 5: Solve for x
    x = 91,667,016.96/10,885.78
  6. Step 6: Final answer
    x = 8,420.80

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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.