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Finding the Fourth Proportional to 11,846.42, 16,346.26 and 7,873.37

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Solution

The fourth proportional to 11,846.42, 16,346.26 and 7,873.37 is: 10,864.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.42 : 16,346.26 = 7,873.37 : x
  2. Step 2: Convert to fraction form
    11,846.42/16,346.26 = 7,873.37/x
  3. Step 3: Cross multiply
    11,846.42x = 16,346.26 × 7,873.37
  4. Step 4: Simplify right side
    11,846.42x = 128,700,153.10
  5. Step 5: Solve for x
    x = 128,700,153.10/11,846.42
  6. Step 6: Final answer
    x = 10,864.05

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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.