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Finding the Fourth Proportional to 11,331.44, 15,633.02 and 8,354.34

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Solution

The fourth proportional to 11,331.44, 15,633.02 and 8,354.34 is: 11,525.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,331.44 : 15,633.02 = 8,354.34 : x
  2. Step 2: Convert to fraction form
    11,331.44/15,633.02 = 8,354.34/x
  3. Step 3: Cross multiply
    11,331.44x = 15,633.02 × 8,354.34
  4. Step 4: Simplify right side
    11,331.44x = 130,603,564.31
  5. Step 5: Solve for x
    x = 130,603,564.31/11,331.44
  6. Step 6: Final answer
    x = 11,525.77

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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.