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Finding the Fourth Proportional to 7,839.90, 11,764.73 and 4,884.15

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Solution

The fourth proportional to 7,839.90, 11,764.73 and 4,884.15 is: 7,329.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,839.90 : 11,764.73 = 4,884.15 : x
  2. Step 2: Convert to fraction form
    7,839.90/11,764.73 = 4,884.15/x
  3. Step 3: Cross multiply
    7,839.90x = 11,764.73 × 4,884.15
  4. Step 4: Simplify right side
    7,839.90x = 57,460,706.03
  5. Step 5: Solve for x
    x = 57,460,706.03/7,839.90
  6. Step 6: Final answer
    x = 7,329.27

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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.