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Finding the Fourth Proportional to 27,408.12, 41,110.74 and 7,688.04

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Solution

The fourth proportional to 27,408.12, 41,110.74 and 7,688.04 is: 11,531.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,408.12 : 41,110.74 = 7,688.04 : x
  2. Step 2: Convert to fraction form
    27,408.12/41,110.74 = 7,688.04/x
  3. Step 3: Cross multiply
    27,408.12x = 41,110.74 × 7,688.04
  4. Step 4: Simplify right side
    27,408.12x = 316,061,013.55
  5. Step 5: Solve for x
    x = 316,061,013.55/27,408.12
  6. Step 6: Final answer
    x = 11,531.66

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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.