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Finding the Fourth Proportional to 7,131.88, 10,697.64 and 1,937.80

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Solution

The fourth proportional to 7,131.88, 10,697.64 and 1,937.80 is: 2,906.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.88 : 10,697.64 = 1,937.80 : x
  2. Step 2: Convert to fraction form
    7,131.88/10,697.64 = 1,937.80/x
  3. Step 3: Cross multiply
    7,131.88x = 10,697.64 × 1,937.80
  4. Step 4: Simplify right side
    7,131.88x = 20,729,886.79
  5. Step 5: Solve for x
    x = 20,729,886.79/7,131.88
  6. Step 6: Final answer
    x = 2,906.65

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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.