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Finding the Fourth Proportional to 11,889.42, 16,408.62 and 6,853.86

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Solution

The fourth proportional to 11,889.42, 16,408.62 and 6,853.86 is: 9,459.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,889.42 : 16,408.62 = 6,853.86 : x
  2. Step 2: Convert to fraction form
    11,889.42/16,408.62 = 6,853.86/x
  3. Step 3: Cross multiply
    11,889.42x = 16,408.62 × 6,853.86
  4. Step 4: Simplify right side
    11,889.42x = 112,462,384.27
  5. Step 5: Solve for x
    x = 112,462,384.27/11,889.42
  6. Step 6: Final answer
    x = 9,459.03

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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.