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Finding the Fourth Proportional to 11,857.55, 16,365.68 and 7,817.28

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Solution

The fourth proportional to 11,857.55, 16,365.68 and 7,817.28 is: 10,789.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.55 : 16,365.68 = 7,817.28 : x
  2. Step 2: Convert to fraction form
    11,857.55/16,365.68 = 7,817.28/x
  3. Step 3: Cross multiply
    11,857.55x = 16,365.68 × 7,817.28
  4. Step 4: Simplify right side
    11,857.55x = 127,935,063.86
  5. Step 5: Solve for x
    x = 127,935,063.86/11,857.55
  6. Step 6: Final answer
    x = 10,789.34

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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.