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Finding the Fourth Proportional to 7,729.96, 11,595.39 and 3,049.65

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Solution

The fourth proportional to 7,729.96, 11,595.39 and 3,049.65 is: 4,574.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.96 : 11,595.39 = 3,049.65 : x
  2. Step 2: Convert to fraction form
    7,729.96/11,595.39 = 3,049.65/x
  3. Step 3: Cross multiply
    7,729.96x = 11,595.39 × 3,049.65
  4. Step 4: Simplify right side
    7,729.96x = 35,361,881.11
  5. Step 5: Solve for x
    x = 35,361,881.11/7,729.96
  6. Step 6: Final answer
    x = 4,574.65

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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.