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Finding the Fourth Proportional to 11,881.00, 16,395.10 and 6,575.50

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Solution

The fourth proportional to 11,881.00, 16,395.10 and 6,575.50 is: 9,073.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,881.00 : 16,395.10 = 6,575.50 : x
  2. Step 2: Convert to fraction form
    11,881.00/16,395.10 = 6,575.50/x
  3. Step 3: Cross multiply
    11,881.00x = 16,395.10 × 6,575.50
  4. Step 4: Simplify right side
    11,881.00x = 107,805,922.62
  5. Step 5: Solve for x
    x = 107,805,922.62/11,881.00
  6. Step 6: Final answer
    x = 9,073.81

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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.