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Finding the Fourth Proportional to 11,584.72, 17,377.08 and 8,137.36

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Solution

The fourth proportional to 11,584.72, 17,377.08 and 8,137.36 is: 12,206.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,584.72 : 17,377.08 = 8,137.36 : x
  2. Step 2: Convert to fraction form
    11,584.72/17,377.08 = 8,137.36/x
  3. Step 3: Cross multiply
    11,584.72x = 17,377.08 × 8,137.36
  4. Step 4: Simplify right side
    11,584.72x = 141,403,555.71
  5. Step 5: Solve for x
    x = 141,403,555.71/11,584.72
  6. Step 6: Final answer
    x = 12,206.04

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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.