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Finding the Fourth Proportional to 7,644.02, 11,458.74 and 2,446.34

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Solution

The fourth proportional to 7,644.02, 11,458.74 and 2,446.34 is: 3,667.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.02 : 11,458.74 = 2,446.34 : x
  2. Step 2: Convert to fraction form
    7,644.02/11,458.74 = 2,446.34/x
  3. Step 3: Cross multiply
    7,644.02x = 11,458.74 × 2,446.34
  4. Step 4: Simplify right side
    7,644.02x = 28,031,974.01
  5. Step 5: Solve for x
    x = 28,031,974.01/7,644.02
  6. Step 6: Final answer
    x = 3,667.18

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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.