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Finding the Fourth Proportional to 7,720.38, 11,574.81 and 3,615.42

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Solution

The fourth proportional to 7,720.38, 11,574.81 and 3,615.42 is: 5,420.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.38 : 11,574.81 = 3,615.42 : x
  2. Step 2: Convert to fraction form
    7,720.38/11,574.81 = 3,615.42/x
  3. Step 3: Cross multiply
    7,720.38x = 11,574.81 × 3,615.42
  4. Step 4: Simplify right side
    7,720.38x = 41,847,799.57
  5. Step 5: Solve for x
    x = 41,847,799.57/7,720.38
  6. Step 6: Final answer
    x = 5,420.43

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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.