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Finding the Fourth Proportional to 8,584.88, 11,844.42 and 5,049.32

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Solution

The fourth proportional to 8,584.88, 11,844.42 and 5,049.32 is: 6,966.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.88 : 11,844.42 = 5,049.32 : x
  2. Step 2: Convert to fraction form
    8,584.88/11,844.42 = 5,049.32/x
  3. Step 3: Cross multiply
    8,584.88x = 11,844.42 × 5,049.32
  4. Step 4: Simplify right side
    8,584.88x = 59,806,266.79
  5. Step 5: Solve for x
    x = 59,806,266.79/8,584.88
  6. Step 6: Final answer
    x = 6,966.47

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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.