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Finding the Fourth Proportional to 11,801.72, 16,284.31 and 7,086.11

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Solution

The fourth proportional to 11,801.72, 16,284.31 and 7,086.11 is: 9,777.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,801.72 : 16,284.31 = 7,086.11 : x
  2. Step 2: Convert to fraction form
    11,801.72/16,284.31 = 7,086.11/x
  3. Step 3: Cross multiply
    11,801.72x = 16,284.31 × 7,086.11
  4. Step 4: Simplify right side
    11,801.72x = 115,392,312.80
  5. Step 5: Solve for x
    x = 115,392,312.80/11,801.72
  6. Step 6: Final answer
    x = 9,777.58

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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.