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Finding the Fourth Proportional to 27,595.83, 41,400.74 and 7,874.46

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Solution

The fourth proportional to 27,595.83, 41,400.74 and 7,874.46 is: 11,813.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,595.83 : 41,400.74 = 7,874.46 : x
  2. Step 2: Convert to fraction form
    27,595.83/41,400.74 = 7,874.46/x
  3. Step 3: Cross multiply
    27,595.83x = 41,400.74 × 7,874.46
  4. Step 4: Simplify right side
    27,595.83x = 326,008,471.10
  5. Step 5: Solve for x
    x = 326,008,471.10/27,595.83
  6. Step 6: Final answer
    x = 11,813.69

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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.