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Finding the Fourth Proportional to 11,605.44, 16,022.76 and 7,977.72

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Solution

The fourth proportional to 11,605.44, 16,022.76 and 7,977.72 is: 11,014.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605.44 : 16,022.76 = 7,977.72 : x
  2. Step 2: Convert to fraction form
    11,605.44/16,022.76 = 7,977.72/x
  3. Step 3: Cross multiply
    11,605.44x = 16,022.76 × 7,977.72
  4. Step 4: Simplify right side
    11,605.44x = 127,825,092.91
  5. Step 5: Solve for x
    x = 127,825,092.91/11,605.44
  6. Step 6: Final answer
    x = 11,014.24

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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.