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Finding the Fourth Proportional to 7,839.99, 11,744.61 and 4,546.16

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Solution

The fourth proportional to 7,839.99, 11,744.61 and 4,546.16 is: 6,810.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,839.99 : 11,744.61 = 4,546.16 : x
  2. Step 2: Convert to fraction form
    7,839.99/11,744.61 = 4,546.16/x
  3. Step 3: Cross multiply
    7,839.99x = 11,744.61 × 4,546.16
  4. Step 4: Simplify right side
    7,839.99x = 53,392,900.41
  5. Step 5: Solve for x
    x = 53,392,900.41/7,839.99
  6. Step 6: Final answer
    x = 6,810.33

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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.