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Finding the Fourth Proportional to 11,584.72, 15,984.24 and 7,814.88

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Solution

The fourth proportional to 11,584.72, 15,984.24 and 7,814.88 is: 10,782.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,584.72 : 15,984.24 = 7,814.88 : x
  2. Step 2: Convert to fraction form
    11,584.72/15,984.24 = 7,814.88/x
  3. Step 3: Cross multiply
    11,584.72x = 15,984.24 × 7,814.88
  4. Step 4: Simplify right side
    11,584.72x = 124,914,888.19
  5. Step 5: Solve for x
    x = 124,914,888.19/11,584.72
  6. Step 6: Final answer
    x = 10,782.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.