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Finding the Fourth Proportional to 11,330.44, 15,631.64 and 8,353.34

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Solution

The fourth proportional to 11,330.44, 15,631.64 and 8,353.34 is: 11,524.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,330.44 : 15,631.64 = 8,353.34 : x
  2. Step 2: Convert to fraction form
    11,330.44/15,631.64 = 8,353.34/x
  3. Step 3: Cross multiply
    11,330.44x = 15,631.64 × 8,353.34
  4. Step 4: Simplify right side
    11,330.44x = 130,576,403.68
  5. Step 5: Solve for x
    x = 130,576,403.68/11,330.44
  6. Step 6: Final answer
    x = 11,524.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.