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Finding the Fourth Proportional to 11,444.94, 17,145.62 and 6,517.98

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Solution

The fourth proportional to 11,444.94, 17,145.62 and 6,517.98 is: 9,764.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,444.94 : 17,145.62 = 6,517.98 : x
  2. Step 2: Convert to fraction form
    11,444.94/17,145.62 = 6,517.98/x
  3. Step 3: Cross multiply
    11,444.94x = 17,145.62 × 6,517.98
  4. Step 4: Simplify right side
    11,444.94x = 111,754,808.25
  5. Step 5: Solve for x
    x = 111,754,808.25/11,444.94
  6. Step 6: Final answer
    x = 9,764.56

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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.