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Finding the Fourth Proportional to 7,161.11, 10,742.32 and 3,002.38

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Solution

The fourth proportional to 7,161.11, 10,742.32 and 3,002.38 is: 4,503.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.11 : 10,742.32 = 3,002.38 : x
  2. Step 2: Convert to fraction form
    7,161.11/10,742.32 = 3,002.38/x
  3. Step 3: Cross multiply
    7,161.11x = 10,742.32 × 3,002.38
  4. Step 4: Simplify right side
    7,161.11x = 32,252,503.62
  5. Step 5: Solve for x
    x = 32,252,503.62/7,161.11
  6. Step 6: Final answer
    x = 4,503.84

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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.