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Finding the Fourth Proportional to 27,781.56, 41,672.22 and 7,005

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Solution

The fourth proportional to 27,781.56, 41,672.22 and 7,005 is: 10,507.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,781.56 : 41,672.22 = 7,005 : x
  2. Step 2: Convert to fraction form
    27,781.56/41,672.22 = 7,005/x
  3. Step 3: Cross multiply
    27,781.56x = 41,672.22 × 7,005
  4. Step 4: Simplify right side
    27,781.56x = 291,913,901.10
  5. Step 5: Solve for x
    x = 291,913,901.10/27,781.56
  6. Step 6: Final answer
    x = 10,507.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.