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Finding the Fourth Proportional to 27,385.88, 41,084.76 and 8,410.58

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Solution

The fourth proportional to 27,385.88, 41,084.76 and 8,410.58 is: 12,617.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,385.88 : 41,084.76 = 8,410.58 : x
  2. Step 2: Convert to fraction form
    27,385.88/41,084.76 = 8,410.58/x
  3. Step 3: Cross multiply
    27,385.88x = 41,084.76 × 8,410.58
  4. Step 4: Simplify right side
    27,385.88x = 345,546,501.74
  5. Step 5: Solve for x
    x = 345,546,501.74/27,385.88
  6. Step 6: Final answer
    x = 12,617.69

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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.