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Finding the Fourth Proportional to 11,773.68, 16,252.76 and 7,796.72

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Solution

The fourth proportional to 11,773.68, 16,252.76 and 7,796.72 is: 10,762.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773.68 : 16,252.76 = 7,796.72 : x
  2. Step 2: Convert to fraction form
    11,773.68/16,252.76 = 7,796.72/x
  3. Step 3: Cross multiply
    11,773.68x = 16,252.76 × 7,796.72
  4. Step 4: Simplify right side
    11,773.68x = 126,718,218.95
  5. Step 5: Solve for x
    x = 126,718,218.95/11,773.68
  6. Step 6: Final answer
    x = 10,762.84

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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.