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Finding the Fourth Proportional to 27,608.72, 41,400.60 and 7,882.58

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Solution

The fourth proportional to 27,608.72, 41,400.60 and 7,882.58 is: 11,820.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,608.72 : 41,400.60 = 7,882.58 : x
  2. Step 2: Convert to fraction form
    27,608.72/41,400.60 = 7,882.58/x
  3. Step 3: Cross multiply
    27,608.72x = 41,400.60 × 7,882.58
  4. Step 4: Simplify right side
    27,608.72x = 326,343,541.55
  5. Step 5: Solve for x
    x = 326,343,541.55/27,608.72
  6. Step 6: Final answer
    x = 11,820.31

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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.