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Finding the Fourth Proportional to 11,610.68, 16,022.52 and 6,574.82

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Solution

The fourth proportional to 11,610.68, 16,022.52 and 6,574.82 is: 9,073.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,610.68 : 16,022.52 = 6,574.82 : x
  2. Step 2: Convert to fraction form
    11,610.68/16,022.52 = 6,574.82/x
  3. Step 3: Cross multiply
    11,610.68x = 16,022.52 × 6,574.82
  4. Step 4: Simplify right side
    11,610.68x = 105,345,184.95
  5. Step 5: Solve for x
    x = 105,345,184.95/11,610.68
  6. Step 6: Final answer
    x = 9,073.13

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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.