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Finding the Fourth Proportional to 11,985.68, 17,966.91 and 4,584.44

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Solution

The fourth proportional to 11,985.68, 17,966.91 and 4,584.44 is: 6,872.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,985.68 : 17,966.91 = 4,584.44 : x
  2. Step 2: Convert to fraction form
    11,985.68/17,966.91 = 4,584.44/x
  3. Step 3: Cross multiply
    11,985.68x = 17,966.91 × 4,584.44
  4. Step 4: Simplify right side
    11,985.68x = 82,368,220.88
  5. Step 5: Solve for x
    x = 82,368,220.88/11,985.68
  6. Step 6: Final answer
    x = 6,872.22

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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.