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Finding the Fourth Proportional to 7,630.86, 11,446.18 and 2,084.08

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Solution

The fourth proportional to 7,630.86, 11,446.18 and 2,084.08 is: 3,126.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,630.86 : 11,446.18 = 2,084.08 : x
  2. Step 2: Convert to fraction form
    7,630.86/11,446.18 = 2,084.08/x
  3. Step 3: Cross multiply
    7,630.86x = 11,446.18 × 2,084.08
  4. Step 4: Simplify right side
    7,630.86x = 23,854,754.81
  5. Step 5: Solve for x
    x = 23,854,754.81/7,630.86
  6. Step 6: Final answer
    x = 3,126.09

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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.