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Finding the Fourth Proportional to 11,027.46, 16,539.46 and 9,165.31

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Solution

The fourth proportional to 11,027.46, 16,539.46 and 9,165.31 is: 13,746.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,027.46 : 16,539.46 = 9,165.31 : x
  2. Step 2: Convert to fraction form
    11,027.46/16,539.46 = 9,165.31/x
  3. Step 3: Cross multiply
    11,027.46x = 16,539.46 × 9,165.31
  4. Step 4: Simplify right side
    11,027.46x = 151,589,256.50
  5. Step 5: Solve for x
    x = 151,589,256.50/11,027.46
  6. Step 6: Final answer
    x = 13,746.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.