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Finding the Fourth Proportional to 7,707.70, 11,567.09 and 3,328.30

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Solution

The fourth proportional to 7,707.70, 11,567.09 and 3,328.30 is: 4,994.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.70 : 11,567.09 = 3,328.30 : x
  2. Step 2: Convert to fraction form
    7,707.70/11,567.09 = 3,328.30/x
  3. Step 3: Cross multiply
    7,707.70x = 11,567.09 × 3,328.30
  4. Step 4: Simplify right side
    7,707.70x = 38,498,745.65
  5. Step 5: Solve for x
    x = 38,498,745.65/7,707.70
  6. Step 6: Final answer
    x = 4,994.84

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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.