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Finding the Fourth Proportional to 11,884.74, 16,408.62 and 7,410.30

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Solution

The fourth proportional to 11,884.74, 16,408.62 and 7,410.30 is: 10,231.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884.74 : 16,408.62 = 7,410.30 : x
  2. Step 2: Convert to fraction form
    11,884.74/16,408.62 = 7,410.30/x
  3. Step 3: Cross multiply
    11,884.74x = 16,408.62 × 7,410.30
  4. Step 4: Simplify right side
    11,884.74x = 121,592,796.79
  5. Step 5: Solve for x
    x = 121,592,796.79/11,884.74
  6. Step 6: Final answer
    x = 10,231.00

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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.