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Finding the Fourth Proportional to 7,684.88, 11,522.04 and 2,492.24

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Solution

The fourth proportional to 7,684.88, 11,522.04 and 2,492.24 is: 3,736.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.88 : 11,522.04 = 2,492.24 : x
  2. Step 2: Convert to fraction form
    7,684.88/11,522.04 = 2,492.24/x
  3. Step 3: Cross multiply
    7,684.88x = 11,522.04 × 2,492.24
  4. Step 4: Simplify right side
    7,684.88x = 28,715,688.97
  5. Step 5: Solve for x
    x = 28,715,688.97/7,684.88
  6. Step 6: Final answer
    x = 3,736.65

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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.