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Finding the Fourth Proportional to 7,679.74, 10,599.49 and 4,809.80

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Solution

The fourth proportional to 7,679.74, 10,599.49 and 4,809.80 is: 6,638.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,679.74 : 10,599.49 = 4,809.80 : x
  2. Step 2: Convert to fraction form
    7,679.74/10,599.49 = 4,809.80/x
  3. Step 3: Cross multiply
    7,679.74x = 10,599.49 × 4,809.80
  4. Step 4: Simplify right side
    7,679.74x = 50,981,427.00
  5. Step 5: Solve for x
    x = 50,981,427.00/7,679.74
  6. Step 6: Final answer
    x = 6,638.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.