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Finding the Fourth Proportional to 11,474.82, 17,173.94 and 6,543.15

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Solution

The fourth proportional to 11,474.82, 17,173.94 and 6,543.15 is: 9,792.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,474.82 : 17,173.94 = 6,543.15 : x
  2. Step 2: Convert to fraction form
    11,474.82/17,173.94 = 6,543.15/x
  3. Step 3: Cross multiply
    11,474.82x = 17,173.94 × 6,543.15
  4. Step 4: Simplify right side
    11,474.82x = 112,371,665.51
  5. Step 5: Solve for x
    x = 112,371,665.51/11,474.82
  6. Step 6: Final answer
    x = 9,792.89

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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.