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Finding the Fourth Proportional to 11,962.49, 16,511.91 and 7,713.56

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Solution

The fourth proportional to 11,962.49, 16,511.91 and 7,713.56 is: 10,647.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,962.49 : 16,511.91 = 7,713.56 : x
  2. Step 2: Convert to fraction form
    11,962.49/16,511.91 = 7,713.56/x
  3. Step 3: Cross multiply
    11,962.49x = 16,511.91 × 7,713.56
  4. Step 4: Simplify right side
    11,962.49x = 127,365,608.50
  5. Step 5: Solve for x
    x = 127,365,608.50/11,962.49
  6. Step 6: Final answer
    x = 10,647.08

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