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Finding the Fourth Proportional to 7,630.64, 11,446.10 and 2,084.57

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Solution

The fourth proportional to 7,630.64, 11,446.10 and 2,084.57 is: 3,126.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,630.64 : 11,446.10 = 2,084.57 : x
  2. Step 2: Convert to fraction form
    7,630.64/11,446.10 = 2,084.57/x
  3. Step 3: Cross multiply
    7,630.64x = 11,446.10 × 2,084.57
  4. Step 4: Simplify right side
    7,630.64x = 23,860,196.68
  5. Step 5: Solve for x
    x = 23,860,196.68/7,630.64
  6. Step 6: Final answer
    x = 3,126.89

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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.