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Finding the Fourth Proportional to 11,859.64, 16,367.34 and 7,383.58

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Solution

The fourth proportional to 11,859.64, 16,367.34 and 7,383.58 is: 10,189.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,859.64 : 16,367.34 = 7,383.58 : x
  2. Step 2: Convert to fraction form
    11,859.64/16,367.34 = 7,383.58/x
  3. Step 3: Cross multiply
    11,859.64x = 16,367.34 × 7,383.58
  4. Step 4: Simplify right side
    11,859.64x = 120,849,564.28
  5. Step 5: Solve for x
    x = 120,849,564.28/11,859.64
  6. Step 6: Final answer
    x = 10,189.99

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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.