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Finding the Fourth Proportional to 27,830.76, 41,752.62 and 8,111.40

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Solution

The fourth proportional to 27,830.76, 41,752.62 and 8,111.40 is: 12,168.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,830.76 : 41,752.62 = 8,111.40 : x
  2. Step 2: Convert to fraction form
    27,830.76/41,752.62 = 8,111.40/x
  3. Step 3: Cross multiply
    27,830.76x = 41,752.62 × 8,111.40
  4. Step 4: Simplify right side
    27,830.76x = 338,672,201.87
  5. Step 5: Solve for x
    x = 338,672,201.87/27,830.76
  6. Step 6: Final answer
    x = 12,168.99

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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.