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Finding the Fourth Proportional to 11,587.48, 15,992.82 and 6,874.12

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Solution

The fourth proportional to 11,587.48, 15,992.82 and 6,874.12 is: 9,487.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,587.48 : 15,992.82 = 6,874.12 : x
  2. Step 2: Convert to fraction form
    11,587.48/15,992.82 = 6,874.12/x
  3. Step 3: Cross multiply
    11,587.48x = 15,992.82 × 6,874.12
  4. Step 4: Simplify right side
    11,587.48x = 109,936,563.82
  5. Step 5: Solve for x
    x = 109,936,563.82/11,587.48
  6. Step 6: Final answer
    x = 9,487.53

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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.