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Finding the Fourth Proportional to 7,131.42, 10,697.67 and 1,937.22

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Solution

The fourth proportional to 7,131.42, 10,697.67 and 1,937.22 is: 2,905.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.42 : 10,697.67 = 1,937.22 : x
  2. Step 2: Convert to fraction form
    7,131.42/10,697.67 = 1,937.22/x
  3. Step 3: Cross multiply
    7,131.42x = 10,697.67 × 1,937.22
  4. Step 4: Simplify right side
    7,131.42x = 20,723,740.28
  5. Step 5: Solve for x
    x = 20,723,740.28/7,131.42
  6. Step 6: Final answer
    x = 2,905.98

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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.