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Finding the Fourth Proportional to 7,697.42, 11,548.08 and 2,150.76

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Solution

The fourth proportional to 7,697.42, 11,548.08 and 2,150.76 is: 3,226.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.42 : 11,548.08 = 2,150.76 : x
  2. Step 2: Convert to fraction form
    7,697.42/11,548.08 = 2,150.76/x
  3. Step 3: Cross multiply
    7,697.42x = 11,548.08 × 2,150.76
  4. Step 4: Simplify right side
    7,697.42x = 24,837,148.54
  5. Step 5: Solve for x
    x = 24,837,148.54/7,697.42
  6. Step 6: Final answer
    x = 3,226.69

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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.