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Finding the Fourth Proportional to 11,980.76, 16,524.65 and 7,729.66

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Solution

The fourth proportional to 11,980.76, 16,524.65 and 7,729.66 is: 10,661.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,980.76 : 16,524.65 = 7,729.66 : x
  2. Step 2: Convert to fraction form
    11,980.76/16,524.65 = 7,729.66/x
  3. Step 3: Cross multiply
    11,980.76x = 16,524.65 × 7,729.66
  4. Step 4: Simplify right side
    11,980.76x = 127,729,926.12
  5. Step 5: Solve for x
    x = 127,729,926.12/11,980.76
  6. Step 6: Final answer
    x = 10,661.25

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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.