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Finding the Fourth Proportional to 11,987.84, 16,543.22 and 6,682.55

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Solution

The fourth proportional to 11,987.84, 16,543.22 and 6,682.55 is: 9,221.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,987.84 : 16,543.22 = 6,682.55 : x
  2. Step 2: Convert to fraction form
    11,987.84/16,543.22 = 6,682.55/x
  3. Step 3: Cross multiply
    11,987.84x = 16,543.22 × 6,682.55
  4. Step 4: Simplify right side
    11,987.84x = 110,550,778.68
  5. Step 5: Solve for x
    x = 110,550,778.68/11,987.84
  6. Step 6: Final answer
    x = 9,221.91

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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.