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Finding the Fourth Proportional to 11,051.75, 16,577.78 and 6,131

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Solution

The fourth proportional to 11,051.75, 16,577.78 and 6,131 is: 9,196.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,051.75 : 16,577.78 = 6,131 : x
  2. Step 2: Convert to fraction form
    11,051.75/16,577.78 = 6,131/x
  3. Step 3: Cross multiply
    11,051.75x = 16,577.78 × 6,131
  4. Step 4: Simplify right side
    11,051.75x = 101,638,353.85
  5. Step 5: Solve for x
    x = 101,638,353.85/11,051.75
  6. Step 6: Final answer
    x = 9,196.58

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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.