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Finding the Fourth Proportional to 11,881.21, 16,395.83 and 6,575.71

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Solution

The fourth proportional to 11,881.21, 16,395.83 and 6,575.71 is: 9,074.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,881.21 : 16,395.83 = 6,575.71 : x
  2. Step 2: Convert to fraction form
    11,881.21/16,395.83 = 6,575.71/x
  3. Step 3: Cross multiply
    11,881.21x = 16,395.83 × 6,575.71
  4. Step 4: Simplify right side
    11,881.21x = 107,814,190.41
  5. Step 5: Solve for x
    x = 107,814,190.41/11,881.21
  6. Step 6: Final answer
    x = 9,074.34

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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.