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Finding the Fourth Proportional to 11,765.36, 17,644.72 and 5,104.08

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Solution

The fourth proportional to 11,765.36, 17,644.72 and 5,104.08 is: 7,654.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.36 : 17,644.72 = 5,104.08 : x
  2. Step 2: Convert to fraction form
    11,765.36/17,644.72 = 5,104.08/x
  3. Step 3: Cross multiply
    11,765.36x = 17,644.72 × 5,104.08
  4. Step 4: Simplify right side
    11,765.36x = 90,060,062.46
  5. Step 5: Solve for x
    x = 90,060,062.46/11,765.36
  6. Step 6: Final answer
    x = 7,654.68

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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.