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Finding the Fourth Proportional to 11,974.87, 16,527.54 and 6,942.34

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Solution

The fourth proportional to 11,974.87, 16,527.54 and 6,942.34 is: 9,581.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,974.87 : 16,527.54 = 6,942.34 : x
  2. Step 2: Convert to fraction form
    11,974.87/16,527.54 = 6,942.34/x
  3. Step 3: Cross multiply
    11,974.87x = 16,527.54 × 6,942.34
  4. Step 4: Simplify right side
    11,974.87x = 114,739,802.04
  5. Step 5: Solve for x
    x = 114,739,802.04/11,974.87
  6. Step 6: Final answer
    x = 9,581.72

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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.