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Finding the Fourth Proportional to 11,850.42, 16,353.54 and 7,134.96

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Solution

The fourth proportional to 11,850.42, 16,353.54 and 7,134.96 is: 9,846.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,850.42 : 16,353.54 = 7,134.96 : x
  2. Step 2: Convert to fraction form
    11,850.42/16,353.54 = 7,134.96/x
  3. Step 3: Cross multiply
    11,850.42x = 16,353.54 × 7,134.96
  4. Step 4: Simplify right side
    11,850.42x = 116,681,853.76
  5. Step 5: Solve for x
    x = 116,681,853.76/11,850.42
  6. Step 6: Final answer
    x = 9,846.22

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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.