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Finding the Fourth Proportional to 11,660.42, 17,462.79 and 6,387.53

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Solution

The fourth proportional to 11,660.42, 17,462.79 and 6,387.53 is: 9,566.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,660.42 : 17,462.79 = 6,387.53 : x
  2. Step 2: Convert to fraction form
    11,660.42/17,462.79 = 6,387.53/x
  3. Step 3: Cross multiply
    11,660.42x = 17,462.79 × 6,387.53
  4. Step 4: Simplify right side
    11,660.42x = 111,544,007.69
  5. Step 5: Solve for x
    x = 111,544,007.69/11,660.42
  6. Step 6: Final answer
    x = 9,566.03

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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.