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Finding the Fourth Proportional to 11,652.48, 15,971.97 and 11,488.44

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Solution

The fourth proportional to 11,652.48, 15,971.97 and 11,488.44 is: 15,747.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652.48 : 15,971.97 = 11,488.44 : x
  2. Step 2: Convert to fraction form
    11,652.48/15,971.97 = 11,488.44/x
  3. Step 3: Cross multiply
    11,652.48x = 15,971.97 × 11,488.44
  4. Step 4: Simplify right side
    11,652.48x = 183,493,019.03
  5. Step 5: Solve for x
    x = 183,493,019.03/11,652.48
  6. Step 6: Final answer
    x = 15,747.12

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.