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Finding the Fourth Proportional to 11,883.60, 16,394.22 and 7,165.26

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Solution

The fourth proportional to 11,883.60, 16,394.22 and 7,165.26 is: 9,884.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,883.60 : 16,394.22 = 7,165.26 : x
  2. Step 2: Convert to fraction form
    11,883.60/16,394.22 = 7,165.26/x
  3. Step 3: Cross multiply
    11,883.60x = 16,394.22 × 7,165.26
  4. Step 4: Simplify right side
    11,883.60x = 117,468,848.80
  5. Step 5: Solve for x
    x = 117,468,848.80/11,883.60
  6. Step 6: Final answer
    x = 9,884.95

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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.