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Finding the Fourth Proportional to 11,680.88, 16,120.49 and 6,646.73

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Solution

The fourth proportional to 11,680.88, 16,120.49 and 6,646.73 is: 9,172.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,680.88 : 16,120.49 = 6,646.73 : x
  2. Step 2: Convert to fraction form
    11,680.88/16,120.49 = 6,646.73/x
  3. Step 3: Cross multiply
    11,680.88x = 16,120.49 × 6,646.73
  4. Step 4: Simplify right side
    11,680.88x = 107,148,430.66
  5. Step 5: Solve for x
    x = 107,148,430.66/11,680.88
  6. Step 6: Final answer
    x = 9,172.98

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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.