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Finding the Fourth Proportional to 11,315.80, 16,973.64 and 7,754.38

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Solution

The fourth proportional to 11,315.80, 16,973.64 and 7,754.38 is: 11,631.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,315.80 : 16,973.64 = 7,754.38 : x
  2. Step 2: Convert to fraction form
    11,315.80/16,973.64 = 7,754.38/x
  3. Step 3: Cross multiply
    11,315.80x = 16,973.64 × 7,754.38
  4. Step 4: Simplify right side
    11,315.80x = 131,620,054.54
  5. Step 5: Solve for x
    x = 131,620,054.54/11,315.80
  6. Step 6: Final answer
    x = 11,631.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.