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Finding the Fourth Proportional to 27,541.92, 41,313.42 and 7,820.58

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Solution

The fourth proportional to 27,541.92, 41,313.42 and 7,820.58 is: 11,731.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,541.92 : 41,313.42 = 7,820.58 : x
  2. Step 2: Convert to fraction form
    27,541.92/41,313.42 = 7,820.58/x
  3. Step 3: Cross multiply
    27,541.92x = 41,313.42 × 7,820.58
  4. Step 4: Simplify right side
    27,541.92x = 323,094,906.18
  5. Step 5: Solve for x
    x = 323,094,906.18/27,541.92
  6. Step 6: Final answer
    x = 11,731.02

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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.