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Finding the Fourth Proportional to 11,822.60, 16,316.16 and 6,517.92

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Solution

The fourth proportional to 11,822.60, 16,316.16 and 6,517.92 is: 8,995.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,822.60 : 16,316.16 = 6,517.92 : x
  2. Step 2: Convert to fraction form
    11,822.60/16,316.16 = 6,517.92/x
  3. Step 3: Cross multiply
    11,822.60x = 16,316.16 × 6,517.92
  4. Step 4: Simplify right side
    11,822.60x = 106,347,425.59
  5. Step 5: Solve for x
    x = 106,347,425.59/11,822.60
  6. Step 6: Final answer
    x = 8,995.27

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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.