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Finding the Fourth Proportional to 11,610.73, 16,022.80 and 6,574.95

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Solution

The fourth proportional to 11,610.73, 16,022.80 and 6,574.95 is: 9,073.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,610.73 : 16,022.80 = 6,574.95 : x
  2. Step 2: Convert to fraction form
    11,610.73/16,022.80 = 6,574.95/x
  3. Step 3: Cross multiply
    11,610.73x = 16,022.80 × 6,574.95
  4. Step 4: Simplify right side
    11,610.73x = 105,348,995.87
  5. Step 5: Solve for x
    x = 105,348,995.87/11,610.73
  6. Step 6: Final answer
    x = 9,073.42

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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.