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Finding the Fourth Proportional to 27,541.32, 41,311.92 and 7,820.07

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Solution

The fourth proportional to 27,541.32, 41,311.92 and 7,820.07 is: 11,730.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,541.32 : 41,311.92 = 7,820.07 : x
  2. Step 2: Convert to fraction form
    27,541.32/41,311.92 = 7,820.07/x
  3. Step 3: Cross multiply
    27,541.32x = 41,311.92 × 7,820.07
  4. Step 4: Simplify right side
    27,541.32x = 323,062,106.23
  5. Step 5: Solve for x
    x = 323,062,106.23/27,541.32
  6. Step 6: Final answer
    x = 11,730.09

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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.