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Finding the Fourth Proportional to 11,584.54, 17,385.21 and 7,877.98

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Solution

The fourth proportional to 11,584.54, 17,385.21 and 7,877.98 is: 11,822.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,584.54 : 17,385.21 = 7,877.98 : x
  2. Step 2: Convert to fraction form
    11,584.54/17,385.21 = 7,877.98/x
  3. Step 3: Cross multiply
    11,584.54x = 17,385.21 × 7,877.98
  4. Step 4: Simplify right side
    11,584.54x = 136,960,336.68
  5. Step 5: Solve for x
    x = 136,960,336.68/11,584.54
  6. Step 6: Final answer
    x = 11,822.68

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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.