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Finding the Fourth Proportional to 7,729.51, 11,599.03 and 3,048.73

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Solution

The fourth proportional to 7,729.51, 11,599.03 and 3,048.73 is: 4,574.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.51 : 11,599.03 = 3,048.73 : x
  2. Step 2: Convert to fraction form
    7,729.51/11,599.03 = 3,048.73/x
  3. Step 3: Cross multiply
    7,729.51x = 11,599.03 × 3,048.73
  4. Step 4: Simplify right side
    7,729.51x = 35,362,310.73
  5. Step 5: Solve for x
    x = 35,362,310.73/7,729.51
  6. Step 6: Final answer
    x = 4,574.97

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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.